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