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Simplifying 5(1 + -5x) + -7 = 31 + 8x (1 * 5 + -5x * 5) + -7 = 31 + 8x (5 + -25x) + -7 = 31 + 8x Reorder the terms: 5 + -7 + -25x = 31 + 8x Combine like terms: 5 + -7 = -2 -2 + -25x = 31 + 8x Solving -2 + -25x = 31 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -2 + -25x + -8x = 31 + 8x + -8x Combine like terms: -25x + -8x = -33x -2 + -33x = 31 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -33x = 31 + 0 -2 + -33x = 31 Add '2' to each side of the equation. -2 + 2 + -33x = 31 + 2 Combine like terms: -2 + 2 = 0 0 + -33x = 31 + 2 -33x = 31 + 2 Combine like terms: 31 + 2 = 33 -33x = 33 Divide each side by '-33'. x = -1 Simplifying x = -1
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