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Simplifying 3(2x + -4) = 2(2x + 1) Reorder the terms: 3(-4 + 2x) = 2(2x + 1) (-4 * 3 + 2x * 3) = 2(2x + 1) (-12 + 6x) = 2(2x + 1) Reorder the terms: -12 + 6x = 2(1 + 2x) -12 + 6x = (1 * 2 + 2x * 2) -12 + 6x = (2 + 4x) Solving -12 + 6x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 6x + -4x = 2 + 4x + -4x Combine like terms: 6x + -4x = 2x -12 + 2x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 2x = 2 + 0 -12 + 2x = 2 Add '12' to each side of the equation. -12 + 12 + 2x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 2 + 12 2x = 2 + 12 Combine like terms: 2 + 12 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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