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Simplifying 3x + -2(x + -1) = 6x + -2(3x + 2) Reorder the terms: 3x + -2(-1 + x) = 6x + -2(3x + 2) 3x + (-1 * -2 + x * -2) = 6x + -2(3x + 2) 3x + (2 + -2x) = 6x + -2(3x + 2) Reorder the terms: 2 + 3x + -2x = 6x + -2(3x + 2) Combine like terms: 3x + -2x = 1x 2 + 1x = 6x + -2(3x + 2) Reorder the terms: 2 + 1x = 6x + -2(2 + 3x) 2 + 1x = 6x + (2 * -2 + 3x * -2) 2 + 1x = 6x + (-4 + -6x) Reorder the terms: 2 + 1x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + 1x = -4 + 0 2 + 1x = -4 Solving 2 + 1x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1x = -4 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -4 + -2 1x = -4 + -2 Combine like terms: -4 + -2 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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