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Simplifying 2(2x + -6) = 3(2 + -1x) Reorder the terms: 2(-6 + 2x) = 3(2 + -1x) (-6 * 2 + 2x * 2) = 3(2 + -1x) (-12 + 4x) = 3(2 + -1x) -12 + 4x = (2 * 3 + -1x * 3) -12 + 4x = (6 + -3x) Solving -12 + 4x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -12 + 4x + 3x = 6 + -3x + 3x Combine like terms: 4x + 3x = 7x -12 + 7x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 7x = 6 + 0 -12 + 7x = 6 Add '12' to each side of the equation. -12 + 12 + 7x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 6 + 12 7x = 6 + 12 Combine like terms: 6 + 12 = 18 7x = 18 Divide each side by '7'. x = 2.571428571 Simplifying x = 2.571428571
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