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Simplifying 92 = 0.5(x + 24) Reorder the terms: 92 = 0.5(24 + x) 92 = (24 * 0.5 + x * 0.5) 92 = (12 + 0.5x) Solving 92 = 12 + 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. 92 + -0.5x = 12 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 92 + -0.5x = 12 + 0.0 92 + -0.5x = 12 Add '-92' to each side of the equation. 92 + -92 + -0.5x = 12 + -92 Combine like terms: 92 + -92 = 0 0 + -0.5x = 12 + -92 -0.5x = 12 + -92 Combine like terms: 12 + -92 = -80 -0.5x = -80 Divide each side by '-0.5'. x = 160 Simplifying x = 160
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