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Simplifying 20(4x + -23) = 25(2x + 2) Reorder the terms: 20(-23 + 4x) = 25(2x + 2) (-23 * 20 + 4x * 20) = 25(2x + 2) (-460 + 80x) = 25(2x + 2) Reorder the terms: -460 + 80x = 25(2 + 2x) -460 + 80x = (2 * 25 + 2x * 25) -460 + 80x = (50 + 50x) Solving -460 + 80x = 50 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. -460 + 80x + -50x = 50 + 50x + -50x Combine like terms: 80x + -50x = 30x -460 + 30x = 50 + 50x + -50x Combine like terms: 50x + -50x = 0 -460 + 30x = 50 + 0 -460 + 30x = 50 Add '460' to each side of the equation. -460 + 460 + 30x = 50 + 460 Combine like terms: -460 + 460 = 0 0 + 30x = 50 + 460 30x = 50 + 460 Combine like terms: 50 + 460 = 510 30x = 510 Divide each side by '30'. x = 17 Simplifying x = 17
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