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Simplifying 3(2x + 4) + -2x = 3(2 + -4X) + 12 Reorder the terms: 3(4 + 2x) + -2x = 3(2 + -4X) + 12 (4 * 3 + 2x * 3) + -2x = 3(2 + -4X) + 12 (12 + 6x) + -2x = 3(2 + -4X) + 12 Combine like terms: 6x + -2x = 4x 12 + 4x = 3(2 + -4X) + 12 12 + 4x = (2 * 3 + -4X * 3) + 12 12 + 4x = (6 + -12X) + 12 Reorder the terms: 12 + 4x = 6 + 12 + -12X Combine like terms: 6 + 12 = 18 12 + 4x = 18 + -12X Solving 12 + 4x = 18 + -12X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 4x = 18 + -12 + -12X Combine like terms: 12 + -12 = 0 0 + 4x = 18 + -12 + -12X 4x = 18 + -12 + -12X Combine like terms: 18 + -12 = 6 4x = 6 + -12X Divide each side by '4'. x = 1.5 + -3X Simplifying x = 1.5 + -3X
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