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Simplifying 7(x + 10) + 2 = -5(x + -9) + -8 Reorder the terms: 7(10 + x) + 2 = -5(x + -9) + -8 (10 * 7 + x * 7) + 2 = -5(x + -9) + -8 (70 + 7x) + 2 = -5(x + -9) + -8 Reorder the terms: 70 + 2 + 7x = -5(x + -9) + -8 Combine like terms: 70 + 2 = 72 72 + 7x = -5(x + -9) + -8 Reorder the terms: 72 + 7x = -5(-9 + x) + -8 72 + 7x = (-9 * -5 + x * -5) + -8 72 + 7x = (45 + -5x) + -8 Reorder the terms: 72 + 7x = 45 + -8 + -5x Combine like terms: 45 + -8 = 37 72 + 7x = 37 + -5x Solving 72 + 7x = 37 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 72 + 7x + 5x = 37 + -5x + 5x Combine like terms: 7x + 5x = 12x 72 + 12x = 37 + -5x + 5x Combine like terms: -5x + 5x = 0 72 + 12x = 37 + 0 72 + 12x = 37 Add '-72' to each side of the equation. 72 + -72 + 12x = 37 + -72 Combine like terms: 72 + -72 = 0 0 + 12x = 37 + -72 12x = 37 + -72 Combine like terms: 37 + -72 = -35 12x = -35 Divide each side by '12'. x = -2.916666667 Simplifying x = -2.916666667
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