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Simplifying 0.5(15x + 64) = 15.5x Reorder the terms: 0.5(64 + 15x) = 15.5x (64 * 0.5 + 15x * 0.5) = 15.5x (32 + 7.5x) = 15.5x Solving 32 + 7.5x = 15.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15.5x' to each side of the equation. 32 + 7.5x + -15.5x = 15.5x + -15.5x Combine like terms: 7.5x + -15.5x = -8x 32 + -8x = 15.5x + -15.5x Combine like terms: 15.5x + -15.5x = 0.0 32 + -8x = 0.0 Add '-32' to each side of the equation. 32 + -32 + -8x = 0.0 + -32 Combine like terms: 32 + -32 = 0 0 + -8x = 0.0 + -32 -8x = 0.0 + -32 Combine like terms: 0.0 + -32 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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