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Simplifying 3(x + -2) = -4(2x + -4) Reorder the terms: 3(-2 + x) = -4(2x + -4) (-2 * 3 + x * 3) = -4(2x + -4) (-6 + 3x) = -4(2x + -4) Reorder the terms: -6 + 3x = -4(-4 + 2x) -6 + 3x = (-4 * -4 + 2x * -4) -6 + 3x = (16 + -8x) Solving -6 + 3x = 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. -6 + 3x + 8x = 16 + -8x + 8x Combine like terms: 3x + 8x = 11x -6 + 11x = 16 + -8x + 8x Combine like terms: -8x + 8x = 0 -6 + 11x = 16 + 0 -6 + 11x = 16 Add '6' to each side of the equation. -6 + 6 + 11x = 16 + 6 Combine like terms: -6 + 6 = 0 0 + 11x = 16 + 6 11x = 16 + 6 Combine like terms: 16 + 6 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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