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Simplifying -8(x + -8) = -4(x + 4) Reorder the terms: -8(-8 + x) = -4(x + 4) (-8 * -8 + x * -8) = -4(x + 4) (64 + -8x) = -4(x + 4) Reorder the terms: 64 + -8x = -4(4 + x) 64 + -8x = (4 * -4 + x * -4) 64 + -8x = (-16 + -4x) Solving 64 + -8x = -16 + -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. 64 + -8x + 4x = -16 + -4x + 4x Combine like terms: -8x + 4x = -4x 64 + -4x = -16 + -4x + 4x Combine like terms: -4x + 4x = 0 64 + -4x = -16 + 0 64 + -4x = -16 Add '-64' to each side of the equation. 64 + -64 + -4x = -16 + -64 Combine like terms: 64 + -64 = 0 0 + -4x = -16 + -64 -4x = -16 + -64 Combine like terms: -16 + -64 = -80 -4x = -80 Divide each side by '-4'. x = 20 Simplifying x = 20
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