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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 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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