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Simplifying 5(5x + 9) = 3 + -1(x + 7) Reorder the terms: 5(9 + 5x) = 3 + -1(x + 7) (9 * 5 + 5x * 5) = 3 + -1(x + 7) (45 + 25x) = 3 + -1(x + 7) Reorder the terms: 45 + 25x = 3 + -1(7 + x) 45 + 25x = 3 + (7 * -1 + x * -1) 45 + 25x = 3 + (-7 + -1x) Combine like terms: 3 + -7 = -4 45 + 25x = -4 + -1x Solving 45 + 25x = -4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 45 + 25x + x = -4 + -1x + x Combine like terms: 25x + x = 26x 45 + 26x = -4 + -1x + x Combine like terms: -1x + x = 0 45 + 26x = -4 + 0 45 + 26x = -4 Add '-45' to each side of the equation. 45 + -45 + 26x = -4 + -45 Combine like terms: 45 + -45 = 0 0 + 26x = -4 + -45 26x = -4 + -45 Combine like terms: -4 + -45 = -49 26x = -49 Divide each side by '26'. x = -1.884615385 Simplifying x = -1.884615385
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