JSFiddle - React, Tailwind, and code Playground

HTML

<div id="formularioVeiculo">
    <div class="row">
        <div class="col-xs-5">
            <div class="form-group" style="margin:0 0 0 1px;">
                <label class="control-label">Veículo</label>
                <select name="veiculo[]" id="" class="form-control">
                    <option value="A">Marca A</option>
                    <option value="A">Marca B</option>
                </select>
            </div>
        </div>
        <div class="col-xs-2">
            <div class="form-group" style="margin:0 0 0 1px;">
                <label class="control-label">Valor</label>
                <input name="veiculoValor[]" type="text" class="form-control" id="" value="" required>
            </div>
        </div>
        <div class="col-xs-1">
            <div class="form-group">	<a href="#" class="btn btn-success btn-xs adicionarCampo" data-id="1" style="margin:35px 0 0 0"><i class="fa fa-plus bigger-110 icon-only">X</i></a>

            </div>
        </div>
    </div>
</div>

CSS

.btn-success {
    color: #ffffff;
    background-color: #5cb85c;
    border-color: #4cae4c;
}
.linkRemover {
    color: #ffffff;
    background-color: #833;
    border-color: #4cae4c;
}
.btn {
    display: inline-block;
    color: #FFF !important;
    text-shadow: 0 -1px 0 rgba(0, 0, 0, 0.25) !important;
    background-image: none !important;
    border: 5px solid #FFF;
    border-radius: 0;
    box-shadow: none !important;
    -webkit-transition: all ease .15s;
    transition: all ease .15s;
    cursor: pointer;
    vertical-align: middle;
    margin: 0;
    position: relative;
}
.btn-sm, .btn-xs {
    padding: 5px 10px;
    font-size: 12px;
    line-height: 1.5;
    border-radius: 3px;
}

JavaScript

$('#formularioVeiculo').on('click', '.adicionarCampo', function (e) {
    var clone = $(e.target).closest('.row').clone();
    $('#formularioVeiculo').append(clone);

    // adicionar botão para remover
    if (clone.find('a.linkRemover').length) return;
    var remover = clone.find('a.adicionarCampo').clone().removeClass('adicionarCampo btn-success').addClass('linkRemover');
    clone.find('a.adicionarCampo').after(remover);
});
$('#formularioVeiculo').on('click', '.linkRemover', function (e) {
    $(e.target).closest('.row').remove();
});