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Simplifying 3(x + -2) + 3(2x + 2) = -3(2 + -1x) Reorder the terms: 3(-2 + x) + 3(2x + 2) = -3(2 + -1x) (-2 * 3 + x * 3) + 3(2x + 2) = -3(2 + -1x) (-6 + 3x) + 3(2x + 2) = -3(2 + -1x) Reorder the terms: -6 + 3x + 3(2 + 2x) = -3(2 + -1x) -6 + 3x + (2 * 3 + 2x * 3) = -3(2 + -1x) -6 + 3x + (6 + 6x) = -3(2 + -1x) Reorder the terms: -6 + 6 + 3x + 6x = -3(2 + -1x) Combine like terms: -6 + 6 = 0 0 + 3x + 6x = -3(2 + -1x) 3x + 6x = -3(2 + -1x) Combine like terms: 3x + 6x = 9x 9x = -3(2 + -1x) 9x = (2 * -3 + -1x * -3) 9x = (-6 + 3x) Solving 9x = -6 + 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. 9x + -3x = -6 + 3x + -3x Combine like terms: 9x + -3x = 6x 6x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 6x = -6 + 0 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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