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To solve the equation \( 1.2 + 6x = -2.1x - 1.2 \), we can start by moving all terms involving \( x \) to one side and constant terms to the other side. Add \( 2.1x \) and subtract \( 1.2 \) from both sides to get \( 6x + 2.1x = -1.2 - 1.2 \). This simplifies to \( 8.1x = -2.4 \). Dividing both sides by \( 8.1 \) gives us \( x = -\frac{2.4}{8.1} \) or approximately \( -0.296 \). Remember to check your result by plugging it back into the original equation. Also, ensure that when you combine like terms, you keep your signs straight! Mistakes are common here, especially with negative numbers.