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Simplifying 5(x + -1) + 8 = 5 + -1(2 + -1x) Reorder the terms: 5(-1 + x) + 8 = 5 + -1(2 + -1x) (-1 * 5 + x * 5) + 8 = 5 + -1(2 + -1x) (-5 + 5x) + 8 = 5 + -1(2 + -1x) Reorder the terms: -5 + 8 + 5x = 5 + -1(2 + -1x) Combine like terms: -5 + 8 = 3 3 + 5x = 5 + -1(2 + -1x) 3 + 5x = 5 + (2 * -1 + -1x * -1) 3 + 5x = 5 + (-2 + 1x) Combine like terms: 5 + -2 = 3 3 + 5x = 3 + 1x Add '-3' to each side of the equation. 3 + -3 + 5x = 3 + -3 + 1x Combine like terms: 3 + -3 = 0 0 + 5x = 3 + -3 + 1x 5x = 3 + -3 + 1x Combine like terms: 3 + -3 = 0 5x = 0 + 1x 5x = 1x Solving 5x = 1x 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. 5x + -1x = 1x + -1x Combine like terms: 5x + -1x = 4x 4x = 1x + -1x Combine like terms: 1x + -1x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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