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Simplifying 3x + 2(6 + -1x) = 3(2x + -6) 3x + (6 * 2 + -1x * 2) = 3(2x + -6) 3x + (12 + -2x) = 3(2x + -6) Reorder the terms: 12 + 3x + -2x = 3(2x + -6) Combine like terms: 3x + -2x = 1x 12 + 1x = 3(2x + -6) Reorder the terms: 12 + 1x = 3(-6 + 2x) 12 + 1x = (-6 * 3 + 2x * 3) 12 + 1x = (-18 + 6x) Solving 12 + 1x = -18 + 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. 12 + 1x + -6x = -18 + 6x + -6x Combine like terms: 1x + -6x = -5x 12 + -5x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -5x = -18 + 0 12 + -5x = -18 Add '-12' to each side of the equation. 12 + -12 + -5x = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = -18 + -12 -5x = -18 + -12 Combine like terms: -18 + -12 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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