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Simplifying 2(6x + -4) = 3(2x + 2) Reorder the terms: 2(-4 + 6x) = 3(2x + 2) (-4 * 2 + 6x * 2) = 3(2x + 2) (-8 + 12x) = 3(2x + 2) Reorder the terms: -8 + 12x = 3(2 + 2x) -8 + 12x = (2 * 3 + 2x * 3) -8 + 12x = (6 + 6x) Solving -8 + 12x = 6 + 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. -8 + 12x + -6x = 6 + 6x + -6x Combine like terms: 12x + -6x = 6x -8 + 6x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 6x = 6 + 0 -8 + 6x = 6 Add '8' to each side of the equation. -8 + 8 + 6x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 6 + 8 6x = 6 + 8 Combine like terms: 6 + 8 = 14 6x = 14 Divide each side by '6'. x = 2.333333333 Simplifying x = 2.333333333
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