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Simplifying 1.2(3.1x + -4.5) + 8.9 = 3.6x + -7.8 Reorder the terms: 1.2(-4.5 + 3.1x) + 8.9 = 3.6x + -7.8 (-4.5 * 1.2 + 3.1x * 1.2) + 8.9 = 3.6x + -7.8 (-5.4 + 3.72x) + 8.9 = 3.6x + -7.8 Reorder the terms: -5.4 + 8.9 + 3.72x = 3.6x + -7.8 Combine like terms: -5.4 + 8.9 = 3.5 3.5 + 3.72x = 3.6x + -7.8 Reorder the terms: 3.5 + 3.72x = -7.8 + 3.6x Solving 3.5 + 3.72x = -7.8 + 3.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.6x' to each side of the equation. 3.5 + 3.72x + -3.6x = -7.8 + 3.6x + -3.6x Combine like terms: 3.72x + -3.6x = 0.12x 3.5 + 0.12x = -7.8 + 3.6x + -3.6x Combine like terms: 3.6x + -3.6x = 0.0 3.5 + 0.12x = -7.8 + 0.0 3.5 + 0.12x = -7.8 Add '-3.5' to each side of the equation. 3.5 + -3.5 + 0.12x = -7.8 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 0.12x = -7.8 + -3.5 0.12x = -7.8 + -3.5 Combine like terms: -7.8 + -3.5 = -11.3 0.12x = -11.3 Divide each side by '0.12'. x = -94.16666667 Simplifying x = -94.16666667
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