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Simplifying 2(x + -3) + -2 = 8 + -1(x + -1) Reorder the terms: 2(-3 + x) + -2 = 8 + -1(x + -1) (-3 * 2 + x * 2) + -2 = 8 + -1(x + -1) (-6 + 2x) + -2 = 8 + -1(x + -1) Reorder the terms: -6 + -2 + 2x = 8 + -1(x + -1) Combine like terms: -6 + -2 = -8 -8 + 2x = 8 + -1(x + -1) Reorder the terms: -8 + 2x = 8 + -1(-1 + x) -8 + 2x = 8 + (-1 * -1 + x * -1) -8 + 2x = 8 + (1 + -1x) Combine like terms: 8 + 1 = 9 -8 + 2x = 9 + -1x Solving -8 + 2x = 9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -8 + 2x + x = 9 + -1x + x Combine like terms: 2x + x = 3x -8 + 3x = 9 + -1x + x Combine like terms: -1x + x = 0 -8 + 3x = 9 + 0 -8 + 3x = 9 Add '8' to each side of the equation. -8 + 8 + 3x = 9 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 9 + 8 3x = 9 + 8 Combine like terms: 9 + 8 = 17 3x = 17 Divide each side by '3'. x = 5.666666667 Simplifying x = 5.666666667
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