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Simplifying 3(2x + -4) = 2(x + 2) Reorder the terms: 3(-4 + 2x) = 2(x + 2) (-4 * 3 + 2x * 3) = 2(x + 2) (-12 + 6x) = 2(x + 2) Reorder the terms: -12 + 6x = 2(2 + x) -12 + 6x = (2 * 2 + x * 2) -12 + 6x = (4 + 2x) Solving -12 + 6x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 6x + -2x = 4 + 2x + -2x Combine like terms: 6x + -2x = 4x -12 + 4x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 4x = 4 + 0 -12 + 4x = 4 Add '12' to each side of the equation. -12 + 12 + 4x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 4 + 12 4x = 4 + 12 Combine like terms: 4 + 12 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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