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Simplifying (2x + -9) * 10 = (x + 2) * 25 Reorder the terms: (-9 + 2x) * 10 = (x + 2) * 25 Reorder the terms for easier multiplication: 10(-9 + 2x) = (x + 2) * 25 (-9 * 10 + 2x * 10) = (x + 2) * 25 (-90 + 20x) = (x + 2) * 25 Reorder the terms: -90 + 20x = (2 + x) * 25 Reorder the terms for easier multiplication: -90 + 20x = 25(2 + x) -90 + 20x = (2 * 25 + x * 25) -90 + 20x = (50 + 25x) Solving -90 + 20x = 50 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -90 + 20x + -25x = 50 + 25x + -25x Combine like terms: 20x + -25x = -5x -90 + -5x = 50 + 25x + -25x Combine like terms: 25x + -25x = 0 -90 + -5x = 50 + 0 -90 + -5x = 50 Add '90' to each side of the equation. -90 + 90 + -5x = 50 + 90 Combine like terms: -90 + 90 = 0 0 + -5x = 50 + 90 -5x = 50 + 90 Combine like terms: 50 + 90 = 140 -5x = 140 Divide each side by '-5'. x = -28 Simplifying x = -28
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