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Simplifying 3(x + 6) = 2(3 + -1x) Reorder the terms: 3(6 + x) = 2(3 + -1x) (6 * 3 + x * 3) = 2(3 + -1x) (18 + 3x) = 2(3 + -1x) 18 + 3x = (3 * 2 + -1x * 2) 18 + 3x = (6 + -2x) Solving 18 + 3x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 18 + 3x + 2x = 6 + -2x + 2x Combine like terms: 3x + 2x = 5x 18 + 5x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 18 + 5x = 6 + 0 18 + 5x = 6 Add '-18' to each side of the equation. 18 + -18 + 5x = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 5x = 6 + -18 5x = 6 + -18 Combine like terms: 6 + -18 = -12 5x = -12 Divide each side by '5'. x = -2.4 Simplifying x = -2.4
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