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Simplifying 3(x + -2) = 6(2 + -1x) Reorder the terms: 3(-2 + x) = 6(2 + -1x) (-2 * 3 + x * 3) = 6(2 + -1x) (-6 + 3x) = 6(2 + -1x) -6 + 3x = (2 * 6 + -1x * 6) -6 + 3x = (12 + -6x) Solving -6 + 3x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -6 + 3x + 6x = 12 + -6x + 6x Combine like terms: 3x + 6x = 9x -6 + 9x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 9x = 12 + 0 -6 + 9x = 12 Add '6' to each side of the equation. -6 + 6 + 9x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 12 + 6 9x = 12 + 6 Combine like terms: 12 + 6 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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