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Simplifying 2(4x + -6) = 3(2x + 2) Reorder the terms: 2(-6 + 4x) = 3(2x + 2) (-6 * 2 + 4x * 2) = 3(2x + 2) (-12 + 8x) = 3(2x + 2) Reorder the terms: -12 + 8x = 3(2 + 2x) -12 + 8x = (2 * 3 + 2x * 3) -12 + 8x = (6 + 6x) Solving -12 + 8x = 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. -12 + 8x + -6x = 6 + 6x + -6x Combine like terms: 8x + -6x = 2x -12 + 2x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 2x = 6 + 0 -12 + 2x = 6 Add '12' to each side of the equation. -12 + 12 + 2x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 6 + 12 2x = 6 + 12 Combine like terms: 6 + 12 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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