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Simplifying 3(2x + -4) = -4(x + -2) Reorder the terms: 3(-4 + 2x) = -4(x + -2) (-4 * 3 + 2x * 3) = -4(x + -2) (-12 + 6x) = -4(x + -2) Reorder the terms: -12 + 6x = -4(-2 + x) -12 + 6x = (-2 * -4 + x * -4) -12 + 6x = (8 + -4x) Solving -12 + 6x = 8 + -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 = 8 + -4x + 4x Combine like terms: 6x + 4x = 10x -12 + 10x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 10x = 8 + 0 -12 + 10x = 8 Add '12' to each side of the equation. -12 + 12 + 10x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = 8 + 12 10x = 8 + 12 Combine like terms: 8 + 12 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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