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Simplifying 3(2x + -4) = 4(2x + 4) Reorder the terms: 3(-4 + 2x) = 4(2x + 4) (-4 * 3 + 2x * 3) = 4(2x + 4) (-12 + 6x) = 4(2x + 4) Reorder the terms: -12 + 6x = 4(4 + 2x) -12 + 6x = (4 * 4 + 2x * 4) -12 + 6x = (16 + 8x) Solving -12 + 6x = 16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -12 + 6x + -8x = 16 + 8x + -8x Combine like terms: 6x + -8x = -2x -12 + -2x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -2x = 16 + 0 -12 + -2x = 16 Add '12' to each side of the equation. -12 + 12 + -2x = 16 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 16 + 12 -2x = 16 + 12 Combine like terms: 16 + 12 = 28 -2x = 28 Divide each side by '-2'. x = -14 Simplifying x = -14
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