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Simplifying 3(2 + -2x) = 4(3x + 4) (2 * 3 + -2x * 3) = 4(3x + 4) (6 + -6x) = 4(3x + 4) Reorder the terms: 6 + -6x = 4(4 + 3x) 6 + -6x = (4 * 4 + 3x * 4) 6 + -6x = (16 + 12x) Solving 6 + -6x = 16 + 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. 6 + -6x + -12x = 16 + 12x + -12x Combine like terms: -6x + -12x = -18x 6 + -18x = 16 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -18x = 16 + 0 6 + -18x = 16 Add '-6' to each side of the equation. 6 + -6 + -18x = 16 + -6 Combine like terms: 6 + -6 = 0 0 + -18x = 16 + -6 -18x = 16 + -6 Combine like terms: 16 + -6 = 10 -18x = 10 Divide each side by '-18'. x = -0.5555555556 Simplifying x = -0.5555555556
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