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Simplifying 3(x + 6) = 2(6 + -3x) Reorder the terms: 3(6 + x) = 2(6 + -3x) (6 * 3 + x * 3) = 2(6 + -3x) (18 + 3x) = 2(6 + -3x) 18 + 3x = (6 * 2 + -3x * 2) 18 + 3x = (12 + -6x) Solving 18 + 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. 18 + 3x + 6x = 12 + -6x + 6x Combine like terms: 3x + 6x = 9x 18 + 9x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 18 + 9x = 12 + 0 18 + 9x = 12 Add '-18' to each side of the equation. 18 + -18 + 9x = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 9x = 12 + -18 9x = 12 + -18 Combine like terms: 12 + -18 = -6 9x = -6 Divide each side by '9'. x = -0.6666666667 Simplifying x = -0.6666666667
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