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Simplifying 5(x + 8) = 8x + 64 Reorder the terms: 5(8 + x) = 8x + 64 (8 * 5 + x * 5) = 8x + 64 (40 + 5x) = 8x + 64 Reorder the terms: 40 + 5x = 64 + 8x Solving 40 + 5x = 64 + 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. 40 + 5x + -8x = 64 + 8x + -8x Combine like terms: 5x + -8x = -3x 40 + -3x = 64 + 8x + -8x Combine like terms: 8x + -8x = 0 40 + -3x = 64 + 0 40 + -3x = 64 Add '-40' to each side of the equation. 40 + -40 + -3x = 64 + -40 Combine like terms: 40 + -40 = 0 0 + -3x = 64 + -40 -3x = 64 + -40 Combine like terms: 64 + -40 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8
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