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Simplifying 3(5 + x) = 2(x + -5) (5 * 3 + x * 3) = 2(x + -5) (15 + 3x) = 2(x + -5) Reorder the terms: 15 + 3x = 2(-5 + x) 15 + 3x = (-5 * 2 + x * 2) 15 + 3x = (-10 + 2x) Solving 15 + 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. 15 + 3x + -2x = -10 + 2x + -2x Combine like terms: 3x + -2x = 1x 15 + 1x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 1x = -10 + 0 15 + 1x = -10 Add '-15' to each side of the equation. 15 + -15 + 1x = -10 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = -10 + -15 1x = -10 + -15 Combine like terms: -10 + -15 = -25 1x = -25 Divide each side by '1'. x = -25 Simplifying x = -25
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