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Simplifying 5(x + -1) = x + 31 Reorder the terms: 5(-1 + x) = x + 31 (-1 * 5 + x * 5) = x + 31 (-5 + 5x) = x + 31 Reorder the terms: -5 + 5x = 31 + x Solving -5 + 5x = 31 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + 5x + -1x = 31 + x + -1x Combine like terms: 5x + -1x = 4x -5 + 4x = 31 + x + -1x Combine like terms: x + -1x = 0 -5 + 4x = 31 + 0 -5 + 4x = 31 Add '5' to each side of the equation. -5 + 5 + 4x = 31 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 31 + 5 4x = 31 + 5 Combine like terms: 31 + 5 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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