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Simplifying 8(x + -4) = 4(-8 + -2x) Reorder the terms: 8(-4 + x) = 4(-8 + -2x) (-4 * 8 + x * 8) = 4(-8 + -2x) (-32 + 8x) = 4(-8 + -2x) -32 + 8x = (-8 * 4 + -2x * 4) -32 + 8x = (-32 + -8x) Add '32' to each side of the equation. -32 + 32 + 8x = -32 + 32 + -8x Combine like terms: -32 + 32 = 0 0 + 8x = -32 + 32 + -8x 8x = -32 + 32 + -8x Combine like terms: -32 + 32 = 0 8x = 0 + -8x 8x = -8x Solving 8x = -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. 8x + 8x = -8x + 8x Combine like terms: 8x + 8x = 16x 16x = -8x + 8x Combine like terms: -8x + 8x = 0 16x = 0 Divide each side by '16'. x = 0 Simplifying x = 0
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