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Simplifying 3(x + -2) = 2(3x + 6) Reorder the terms: 3(-2 + x) = 2(3x + 6) (-2 * 3 + x * 3) = 2(3x + 6) (-6 + 3x) = 2(3x + 6) Reorder the terms: -6 + 3x = 2(6 + 3x) -6 + 3x = (6 * 2 + 3x * 2) -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 = -3x -6 + -3x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -3x = 12 + 0 -6 + -3x = 12 Add '6' to each side of the equation. -6 + 6 + -3x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 12 + 6 -3x = 12 + 6 Combine like terms: 12 + 6 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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