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Simplifying 5(x + -9) = 10(x + 2) Reorder the terms: 5(-9 + x) = 10(x + 2) (-9 * 5 + x * 5) = 10(x + 2) (-45 + 5x) = 10(x + 2) Reorder the terms: -45 + 5x = 10(2 + x) -45 + 5x = (2 * 10 + x * 10) -45 + 5x = (20 + 10x) Solving -45 + 5x = 20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -45 + 5x + -10x = 20 + 10x + -10x Combine like terms: 5x + -10x = -5x -45 + -5x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 -45 + -5x = 20 + 0 -45 + -5x = 20 Add '45' to each side of the equation. -45 + 45 + -5x = 20 + 45 Combine like terms: -45 + 45 = 0 0 + -5x = 20 + 45 -5x = 20 + 45 Combine like terms: 20 + 45 = 65 -5x = 65 Divide each side by '-5'. x = -13 Simplifying x = -13
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