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Simplifying 180 + -1(3x + -20) = (x + 25) * 2 Reorder the terms: 180 + -1(-20 + 3x) = (x + 25) * 2 180 + (-20 * -1 + 3x * -1) = (x + 25) * 2 180 + (20 + -3x) = (x + 25) * 2 Combine like terms: 180 + 20 = 200 200 + -3x = (x + 25) * 2 Reorder the terms: 200 + -3x = (25 + x) * 2 Reorder the terms for easier multiplication: 200 + -3x = 2(25 + x) 200 + -3x = (25 * 2 + x * 2) 200 + -3x = (50 + 2x) Solving 200 + -3x = 50 + 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. 200 + -3x + -2x = 50 + 2x + -2x Combine like terms: -3x + -2x = -5x 200 + -5x = 50 + 2x + -2x Combine like terms: 2x + -2x = 0 200 + -5x = 50 + 0 200 + -5x = 50 Add '-200' to each side of the equation. 200 + -200 + -5x = 50 + -200 Combine like terms: 200 + -200 = 0 0 + -5x = 50 + -200 -5x = 50 + -200 Combine like terms: 50 + -200 = -150 -5x = -150 Divide each side by '-5'. x = 30 Simplifying x = 30
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