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Simplifying 6(3 + -2x) + 2x = 4(3x + -6) + -2 (3 * 6 + -2x * 6) + 2x = 4(3x + -6) + -2 (18 + -12x) + 2x = 4(3x + -6) + -2 Combine like terms: -12x + 2x = -10x 18 + -10x = 4(3x + -6) + -2 Reorder the terms: 18 + -10x = 4(-6 + 3x) + -2 18 + -10x = (-6 * 4 + 3x * 4) + -2 18 + -10x = (-24 + 12x) + -2 Reorder the terms: 18 + -10x = -24 + -2 + 12x Combine like terms: -24 + -2 = -26 18 + -10x = -26 + 12x Solving 18 + -10x = -26 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 18 + -10x + -12x = -26 + 12x + -12x Combine like terms: -10x + -12x = -22x 18 + -22x = -26 + 12x + -12x Combine like terms: 12x + -12x = 0 18 + -22x = -26 + 0 18 + -22x = -26 Add '-18' to each side of the equation. 18 + -18 + -22x = -26 + -18 Combine like terms: 18 + -18 = 0 0 + -22x = -26 + -18 -22x = -26 + -18 Combine like terms: -26 + -18 = -44 -22x = -44 Divide each side by '-22'. x = 2 Simplifying x = 2
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