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Simplifying 5(5x + 9) = -1x + -7 Reorder the terms: 5(9 + 5x) = -1x + -7 (9 * 5 + 5x * 5) = -1x + -7 (45 + 25x) = -1x + -7 Reorder the terms: 45 + 25x = -7 + -1x Solving 45 + 25x = -7 + -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 = -7 + -1x + x Combine like terms: 25x + x = 26x 45 + 26x = -7 + -1x + x Combine like terms: -1x + x = 0 45 + 26x = -7 + 0 45 + 26x = -7 Add '-45' to each side of the equation. 45 + -45 + 26x = -7 + -45 Combine like terms: 45 + -45 = 0 0 + 26x = -7 + -45 26x = -7 + -45 Combine like terms: -7 + -45 = -52 26x = -52 Divide each side by '26'. x = -2 Simplifying x = -2
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