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Simplifying 42 = 0.5(38 + x) 42 = (38 * 0.5 + x * 0.5) 42 = (19 + 0.5x) Solving 42 = 19 + 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. 42 + -0.5x = 19 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 42 + -0.5x = 19 + 0.0 42 + -0.5x = 19 Add '-42' to each side of the equation. 42 + -42 + -0.5x = 19 + -42 Combine like terms: 42 + -42 = 0 0 + -0.5x = 19 + -42 -0.5x = 19 + -42 Combine like terms: 19 + -42 = -23 -0.5x = -23 Divide each side by '-0.5'. x = 46 Simplifying x = 46
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