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Simplifying 8x + 3(x + -1) = 2(x + 1) Reorder the terms: 8x + 3(-1 + x) = 2(x + 1) 8x + (-1 * 3 + x * 3) = 2(x + 1) 8x + (-3 + 3x) = 2(x + 1) Reorder the terms: -3 + 8x + 3x = 2(x + 1) Combine like terms: 8x + 3x = 11x -3 + 11x = 2(x + 1) Reorder the terms: -3 + 11x = 2(1 + x) -3 + 11x = (1 * 2 + x * 2) -3 + 11x = (2 + 2x) Solving -3 + 11x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + 11x + -2x = 2 + 2x + -2x Combine like terms: 11x + -2x = 9x -3 + 9x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 9x = 2 + 0 -3 + 9x = 2 Add '3' to each side of the equation. -3 + 3 + 9x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = 2 + 3 9x = 2 + 3 Combine like terms: 2 + 3 = 5 9x = 5 Divide each side by '9'. x = 0.5555555556 Simplifying x = 0.5555555556
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