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