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Simplifying 12.6 + -2.5x + -6.7 = -1.5(x + -6) Reorder the terms: 12.6 + -6.7 + -2.5x = -1.5(x + -6) Combine like terms: 12.6 + -6.7 = 5.9 5.9 + -2.5x = -1.5(x + -6) Reorder the terms: 5.9 + -2.5x = -1.5(-6 + x) 5.9 + -2.5x = (-6 * -1.5 + x * -1.5) 5.9 + -2.5x = (9 + -1.5x) Solving 5.9 + -2.5x = 9 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. 5.9 + -2.5x + 1.5x = 9 + -1.5x + 1.5x Combine like terms: -2.5x + 1.5x = -1x 5.9 + -1x = 9 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 5.9 + -1x = 9 + 0.0 5.9 + -1x = 9 Add '-5.9' to each side of the equation. 5.9 + -5.9 + -1x = 9 + -5.9 Combine like terms: 5.9 + -5.9 = 0.0 0.0 + -1x = 9 + -5.9 -1x = 9 + -5.9 Combine like terms: 9 + -5.9 = 3.1 -1x = 3.1 Divide each side by '-1'. x = -3.1 Simplifying x = -3.1
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