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Simplifying 5x + 5(1 + x) = x + 8 5x + (1 * 5 + x * 5) = x + 8 5x + (5 + 5x) = x + 8 Reorder the terms: 5 + 5x + 5x = x + 8 Combine like terms: 5x + 5x = 10x 5 + 10x = x + 8 Reorder the terms: 5 + 10x = 8 + x Solving 5 + 10x = 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 + 10x + -1x = 8 + x + -1x Combine like terms: 10x + -1x = 9x 5 + 9x = 8 + x + -1x Combine like terms: x + -1x = 0 5 + 9x = 8 + 0 5 + 9x = 8 Add '-5' to each side of the equation. 5 + -5 + 9x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = 8 + -5 9x = 8 + -5 Combine like terms: 8 + -5 = 3 9x = 3 Divide each side by '9'. x = 0.3333333333 Simplifying x = 0.3333333333
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