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Simplifying -3(x + 5) = 2(x + 10) Reorder the terms: -3(5 + x) = 2(x + 10) (5 * -3 + x * -3) = 2(x + 10) (-15 + -3x) = 2(x + 10) Reorder the terms: -15 + -3x = 2(10 + x) -15 + -3x = (10 * 2 + x * 2) -15 + -3x = (20 + 2x) Solving -15 + -3x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + -3x + -2x = 20 + 2x + -2x Combine like terms: -3x + -2x = -5x -15 + -5x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + -5x = 20 + 0 -15 + -5x = 20 Add '15' to each side of the equation. -15 + 15 + -5x = 20 + 15 Combine like terms: -15 + 15 = 0 0 + -5x = 20 + 15 -5x = 20 + 15 Combine like terms: 20 + 15 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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