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Simplifying 20(-2x + 25) = 17(x + -2) Reorder the terms: 20(25 + -2x) = 17(x + -2) (25 * 20 + -2x * 20) = 17(x + -2) (500 + -40x) = 17(x + -2) Reorder the terms: 500 + -40x = 17(-2 + x) 500 + -40x = (-2 * 17 + x * 17) 500 + -40x = (-34 + 17x) Solving 500 + -40x = -34 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 500 + -40x + -17x = -34 + 17x + -17x Combine like terms: -40x + -17x = -57x 500 + -57x = -34 + 17x + -17x Combine like terms: 17x + -17x = 0 500 + -57x = -34 + 0 500 + -57x = -34 Add '-500' to each side of the equation. 500 + -500 + -57x = -34 + -500 Combine like terms: 500 + -500 = 0 0 + -57x = -34 + -500 -57x = -34 + -500 Combine like terms: -34 + -500 = -534 -57x = -534 Divide each side by '-57'. x = 9.368421053 Simplifying x = 9.368421053
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