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Simplifying 2(x + 15) = -3(x + -10) Reorder the terms: 2(15 + x) = -3(x + -10) (15 * 2 + x * 2) = -3(x + -10) (30 + 2x) = -3(x + -10) Reorder the terms: 30 + 2x = -3(-10 + x) 30 + 2x = (-10 * -3 + x * -3) 30 + 2x = (30 + -3x) Add '-30' to each side of the equation. 30 + -30 + 2x = 30 + -30 + -3x Combine like terms: 30 + -30 = 0 0 + 2x = 30 + -30 + -3x 2x = 30 + -30 + -3x Combine like terms: 30 + -30 = 0 2x = 0 + -3x 2x = -3x Solving 2x = -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. 2x + 3x = -3x + 3x Combine like terms: 2x + 3x = 5x 5x = -3x + 3x Combine like terms: -3x + 3x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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