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Simplifying 5(5x + 1) = -1x + 31 Reorder the terms: 5(1 + 5x) = -1x + 31 (1 * 5 + 5x * 5) = -1x + 31 (5 + 25x) = -1x + 31 Reorder the terms: 5 + 25x = 31 + -1x Solving 5 + 25x = 31 + -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. 5 + 25x + x = 31 + -1x + x Combine like terms: 25x + x = 26x 5 + 26x = 31 + -1x + x Combine like terms: -1x + x = 0 5 + 26x = 31 + 0 5 + 26x = 31 Add '-5' to each side of the equation. 5 + -5 + 26x = 31 + -5 Combine like terms: 5 + -5 = 0 0 + 26x = 31 + -5 26x = 31 + -5 Combine like terms: 31 + -5 = 26 26x = 26 Divide each side by '26'. x = 1 Simplifying x = 1
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