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Simplifying 8(x + 8) = 5(x + -4) Reorder the terms: 8(8 + x) = 5(x + -4) (8 * 8 + x * 8) = 5(x + -4) (64 + 8x) = 5(x + -4) Reorder the terms: 64 + 8x = 5(-4 + x) 64 + 8x = (-4 * 5 + x * 5) 64 + 8x = (-20 + 5x) Solving 64 + 8x = -20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 64 + 8x + -5x = -20 + 5x + -5x Combine like terms: 8x + -5x = 3x 64 + 3x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 64 + 3x = -20 + 0 64 + 3x = -20 Add '-64' to each side of the equation. 64 + -64 + 3x = -20 + -64 Combine like terms: 64 + -64 = 0 0 + 3x = -20 + -64 3x = -20 + -64 Combine like terms: -20 + -64 = -84 3x = -84 Divide each side by '3'. x = -28 Simplifying x = -28
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