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Simplifying 5(5x + 9) = 13(-1x + 7) Reorder the terms: 5(9 + 5x) = 13(-1x + 7) (9 * 5 + 5x * 5) = 13(-1x + 7) (45 + 25x) = 13(-1x + 7) Reorder the terms: 45 + 25x = 13(7 + -1x) 45 + 25x = (7 * 13 + -1x * 13) 45 + 25x = (91 + -13x) Solving 45 + 25x = 91 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 45 + 25x + 13x = 91 + -13x + 13x Combine like terms: 25x + 13x = 38x 45 + 38x = 91 + -13x + 13x Combine like terms: -13x + 13x = 0 45 + 38x = 91 + 0 45 + 38x = 91 Add '-45' to each side of the equation. 45 + -45 + 38x = 91 + -45 Combine like terms: 45 + -45 = 0 0 + 38x = 91 + -45 38x = 91 + -45 Combine like terms: 91 + -45 = 46 38x = 46 Divide each side by '38'. x = 1.210526316 Simplifying x = 1.210526316
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