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