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Simplifying 2(x + -1) + -6 = 3(x + -1) Reorder the terms: 2(-1 + x) + -6 = 3(x + -1) (-1 * 2 + x * 2) + -6 = 3(x + -1) (-2 + 2x) + -6 = 3(x + -1) Reorder the terms: -2 + -6 + 2x = 3(x + -1) Combine like terms: -2 + -6 = -8 -8 + 2x = 3(x + -1) Reorder the terms: -8 + 2x = 3(-1 + x) -8 + 2x = (-1 * 3 + x * 3) -8 + 2x = (-3 + 3x) Solving -8 + 2x = -3 + 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. -8 + 2x + -3x = -3 + 3x + -3x Combine like terms: 2x + -3x = -1x -8 + -1x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + -1x = -3 + 0 -8 + -1x = -3 Add '8' to each side of the equation. -8 + 8 + -1x = -3 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -3 + 8 -1x = -3 + 8 Combine like terms: -3 + 8 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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