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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 = -4x 5.9 + -4x = -9 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 5.9 + -4x = -9 + 0.0 5.9 + -4x = -9 Add '-5.9' to each side of the equation. 5.9 + -5.9 + -4x = -9 + -5.9 Combine like terms: 5.9 + -5.9 = 0.0 0.0 + -4x = -9 + -5.9 -4x = -9 + -5.9 Combine like terms: -9 + -5.9 = -14.9 -4x = -14.9 Divide each side by '-4'. x = 3.725 Simplifying x = 3.725
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