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Simplifying 35 = 0.5(x + 42) Reorder the terms: 35 = 0.5(42 + x) 35 = (42 * 0.5 + x * 0.5) 35 = (21 + 0.5x) Solving 35 = 21 + 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. 35 + -0.5x = 21 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 35 + -0.5x = 21 + 0.0 35 + -0.5x = 21 Add '-35' to each side of the equation. 35 + -35 + -0.5x = 21 + -35 Combine like terms: 35 + -35 = 0 0 + -0.5x = 21 + -35 -0.5x = 21 + -35 Combine like terms: 21 + -35 = -14 -0.5x = -14 Divide each side by '-0.5'. x = 28 Simplifying x = 28
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