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Simplifying 5(x + -5) = 8x + -31 Reorder the terms: 5(-5 + x) = 8x + -31 (-5 * 5 + x * 5) = 8x + -31 (-25 + 5x) = 8x + -31 Reorder the terms: -25 + 5x = -31 + 8x Solving -25 + 5x = -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. -25 + 5x + -8x = -31 + 8x + -8x Combine like terms: 5x + -8x = -3x -25 + -3x = -31 + 8x + -8x Combine like terms: 8x + -8x = 0 -25 + -3x = -31 + 0 -25 + -3x = -31 Add '25' to each side of the equation. -25 + 25 + -3x = -31 + 25 Combine like terms: -25 + 25 = 0 0 + -3x = -31 + 25 -3x = -31 + 25 Combine like terms: -31 + 25 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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