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Simplifying -3(x + 15) = 2(x + 5) Reorder the terms: -3(15 + x) = 2(x + 5) (15 * -3 + x * -3) = 2(x + 5) (-45 + -3x) = 2(x + 5) Reorder the terms: -45 + -3x = 2(5 + x) -45 + -3x = (5 * 2 + x * 2) -45 + -3x = (10 + 2x) Solving -45 + -3x = 10 + 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. -45 + -3x + -2x = 10 + 2x + -2x Combine like terms: -3x + -2x = -5x -45 + -5x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -45 + -5x = 10 + 0 -45 + -5x = 10 Add '45' to each side of the equation. -45 + 45 + -5x = 10 + 45 Combine like terms: -45 + 45 = 0 0 + -5x = 10 + 45 -5x = 10 + 45 Combine like terms: 10 + 45 = 55 -5x = 55 Divide each side by '-5'. x = -11 Simplifying x = -11
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