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Simplifying 8(x + -1) = 31 + -5x Reorder the terms: 8(-1 + x) = 31 + -5x (-1 * 8 + x * 8) = 31 + -5x (-8 + 8x) = 31 + -5x Solving -8 + 8x = 31 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -8 + 8x + 5x = 31 + -5x + 5x Combine like terms: 8x + 5x = 13x -8 + 13x = 31 + -5x + 5x Combine like terms: -5x + 5x = 0 -8 + 13x = 31 + 0 -8 + 13x = 31 Add '8' to each side of the equation. -8 + 8 + 13x = 31 + 8 Combine like terms: -8 + 8 = 0 0 + 13x = 31 + 8 13x = 31 + 8 Combine like terms: 31 + 8 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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