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Simplifying 2(x + 4) = 64 + -5x Reorder the terms: 2(4 + x) = 64 + -5x (4 * 2 + x * 2) = 64 + -5x (8 + 2x) = 64 + -5x Solving 8 + 2x = 64 + -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. 8 + 2x + 5x = 64 + -5x + 5x Combine like terms: 2x + 5x = 7x 8 + 7x = 64 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + 7x = 64 + 0 8 + 7x = 64 Add '-8' to each side of the equation. 8 + -8 + 7x = 64 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 64 + -8 7x = 64 + -8 Combine like terms: 64 + -8 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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