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Simplifying 10x + 15 = 5(x + -9) Reorder the terms: 15 + 10x = 5(x + -9) Reorder the terms: 15 + 10x = 5(-9 + x) 15 + 10x = (-9 * 5 + x * 5) 15 + 10x = (-45 + 5x) Solving 15 + 10x = -45 + 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. 15 + 10x + -5x = -45 + 5x + -5x Combine like terms: 10x + -5x = 5x 15 + 5x = -45 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + 5x = -45 + 0 15 + 5x = -45 Add '-15' to each side of the equation. 15 + -15 + 5x = -45 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = -45 + -15 5x = -45 + -15 Combine like terms: -45 + -15 = -60 5x = -60 Divide each side by '5'. x = -12 Simplifying x = -12
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