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Simplifying 2(x + 5) = -3(x + -15) Reorder the terms: 2(5 + x) = -3(x + -15) (5 * 2 + x * 2) = -3(x + -15) (10 + 2x) = -3(x + -15) Reorder the terms: 10 + 2x = -3(-15 + x) 10 + 2x = (-15 * -3 + x * -3) 10 + 2x = (45 + -3x) Solving 10 + 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. 10 + 2x + 3x = 45 + -3x + 3x Combine like terms: 2x + 3x = 5x 10 + 5x = 45 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 5x = 45 + 0 10 + 5x = 45 Add '-10' to each side of the equation. 10 + -10 + 5x = 45 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 45 + -10 5x = 45 + -10 Combine like terms: 45 + -10 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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