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Simplifying 2x + 32 = 0.5x + 65 Reorder the terms: 32 + 2x = 0.5x + 65 Reorder the terms: 32 + 2x = 65 + 0.5x Solving 32 + 2x = 65 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 32 + 2x + -0.5x = 65 + 0.5x + -0.5x Combine like terms: 2x + -0.5x = 1.5x 32 + 1.5x = 65 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 32 + 1.5x = 65 + 0.0 32 + 1.5x = 65 Add '-32' to each side of the equation. 32 + -32 + 1.5x = 65 + -32 Combine like terms: 32 + -32 = 0 0 + 1.5x = 65 + -32 1.5x = 65 + -32 Combine like terms: 65 + -32 = 33 1.5x = 33 Divide each side by '1.5'. x = 22 Simplifying x = 22
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