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Simplifying 2(x + 15) = -3(x + -15) Reorder the terms: 2(15 + x) = -3(x + -15) (15 * 2 + x * 2) = -3(x + -15) (30 + 2x) = -3(x + -15) Reorder the terms: 30 + 2x = -3(-15 + x) 30 + 2x = (-15 * -3 + x * -3) 30 + 2x = (45 + -3x) Solving 30 + 2x = 45 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 30 + 2x + 3x = 45 + -3x + 3x Combine like terms: 2x + 3x = 5x 30 + 5x = 45 + -3x + 3x Combine like terms: -3x + 3x = 0 30 + 5x = 45 + 0 30 + 5x = 45 Add '-30' to each side of the equation. 30 + -30 + 5x = 45 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = 45 + -30 5x = 45 + -30 Combine like terms: 45 + -30 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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