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Simplifying 5(x + -1) = x + 2(x + 1) + -8 Reorder the terms: 5(-1 + x) = x + 2(x + 1) + -8 (-1 * 5 + x * 5) = x + 2(x + 1) + -8 (-5 + 5x) = x + 2(x + 1) + -8 Reorder the terms: -5 + 5x = x + 2(1 + x) + -8 -5 + 5x = x + (1 * 2 + x * 2) + -8 -5 + 5x = x + (2 + 2x) + -8 Reorder the terms: -5 + 5x = 2 + -8 + x + 2x Combine like terms: 2 + -8 = -6 -5 + 5x = -6 + x + 2x Combine like terms: x + 2x = 3x -5 + 5x = -6 + 3x Solving -5 + 5x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5 + 5x + -3x = -6 + 3x + -3x Combine like terms: 5x + -3x = 2x -5 + 2x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 2x = -6 + 0 -5 + 2x = -6 Add '5' to each side of the equation. -5 + 5 + 2x = -6 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = -6 + 5 2x = -6 + 5 Combine like terms: -6 + 5 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5
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