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Simplifying 4(2x + 8) = 5(x + 4) Reorder the terms: 4(8 + 2x) = 5(x + 4) (8 * 4 + 2x * 4) = 5(x + 4) (32 + 8x) = 5(x + 4) Reorder the terms: 32 + 8x = 5(4 + x) 32 + 8x = (4 * 5 + x * 5) 32 + 8x = (20 + 5x) Solving 32 + 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. 32 + 8x + -5x = 20 + 5x + -5x Combine like terms: 8x + -5x = 3x 32 + 3x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 32 + 3x = 20 + 0 32 + 3x = 20 Add '-32' to each side of the equation. 32 + -32 + 3x = 20 + -32 Combine like terms: 32 + -32 = 0 0 + 3x = 20 + -32 3x = 20 + -32 Combine like terms: 20 + -32 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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