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Simplifying 5x + 5(x + -1) = x + 8 Reorder the terms: 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 = 13 9x = 13 Divide each side by '9'. x = 1.444444444 Simplifying x = 1.444444444
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