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Simplifying 2(2x + -4) = -2(x + -8) Reorder the terms: 2(-4 + 2x) = -2(x + -8) (-4 * 2 + 2x * 2) = -2(x + -8) (-8 + 4x) = -2(x + -8) Reorder the terms: -8 + 4x = -2(-8 + x) -8 + 4x = (-8 * -2 + x * -2) -8 + 4x = (16 + -2x) Solving -8 + 4x = 16 + -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. -8 + 4x + 2x = 16 + -2x + 2x Combine like terms: 4x + 2x = 6x -8 + 6x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 6x = 16 + 0 -8 + 6x = 16 Add '8' to each side of the equation. -8 + 8 + 6x = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 16 + 8 6x = 16 + 8 Combine like terms: 16 + 8 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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