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Simplifying 5(5 + 2x) = 9(x + -1) (5 * 5 + 2x * 5) = 9(x + -1) (25 + 10x) = 9(x + -1) Reorder the terms: 25 + 10x = 9(-1 + x) 25 + 10x = (-1 * 9 + x * 9) 25 + 10x = (-9 + 9x) Solving 25 + 10x = -9 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 25 + 10x + -9x = -9 + 9x + -9x Combine like terms: 10x + -9x = 1x 25 + 1x = -9 + 9x + -9x Combine like terms: 9x + -9x = 0 25 + 1x = -9 + 0 25 + 1x = -9 Add '-25' to each side of the equation. 25 + -25 + 1x = -9 + -25 Combine like terms: 25 + -25 = 0 0 + 1x = -9 + -25 1x = -9 + -25 Combine like terms: -9 + -25 = -34 1x = -34 Divide each side by '1'. x = -34 Simplifying x = -34
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