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Simplifying 3(x + -1) + -2(2x + 1) = 8(x + 1) Reorder the terms: 3(-1 + x) + -2(2x + 1) = 8(x + 1) (-1 * 3 + x * 3) + -2(2x + 1) = 8(x + 1) (-3 + 3x) + -2(2x + 1) = 8(x + 1) Reorder the terms: -3 + 3x + -2(1 + 2x) = 8(x + 1) -3 + 3x + (1 * -2 + 2x * -2) = 8(x + 1) -3 + 3x + (-2 + -4x) = 8(x + 1) Reorder the terms: -3 + -2 + 3x + -4x = 8(x + 1) Combine like terms: -3 + -2 = -5 -5 + 3x + -4x = 8(x + 1) Combine like terms: 3x + -4x = -1x -5 + -1x = 8(x + 1) Reorder the terms: -5 + -1x = 8(1 + x) -5 + -1x = (1 * 8 + x * 8) -5 + -1x = (8 + 8x) Solving -5 + -1x = 8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + -1x + -8x = 8 + 8x + -8x Combine like terms: -1x + -8x = -9x -5 + -9x = 8 + 8x + -8x Combine like terms: 8x + -8x = 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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