To simplify the expression \(-4.08 \div 1.2 - (-4.2) \times 1.5\), we can follow these steps:
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Calculate \(-4.08 \div 1.2\): \[ -4.08 \div 1.2 = -3.4 \]
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Calculate \(-4.2 \times 1.5\): \[ -4.2 \times 1.5 = -6.3 \]
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Since we have a negative sign in front of \(-4.2 \times 1.5\), we need to change that to a positive: \[ -(-4.2 \times 1.5) = 6.3 \]
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Now combine the results: \[ -3.4 + 6.3 = 2.9 \]
So, the simplified expression is \(\boxed{2.9}\).