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Simplifying 0.2x + 35 = 0.5(50 + x) Reorder the terms: 35 + 0.2x = 0.5(50 + x) 35 + 0.2x = (50 * 0.5 + x * 0.5) 35 + 0.2x = (25 + 0.5x) Solving 35 + 0.2x = 25 + 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 + 0.2x + -0.5x = 25 + 0.5x + -0.5x Combine like terms: 0.2x + -0.5x = -0.3x 35 + -0.3x = 25 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 35 + -0.3x = 25 + 0.0 35 + -0.3x = 25 Add '-35' to each side of the equation. 35 + -35 + -0.3x = 25 + -35 Combine like terms: 35 + -35 = 0 0 + -0.3x = 25 + -35 -0.3x = 25 + -35 Combine like terms: 25 + -35 = -10 -0.3x = -10 Divide each side by '-0.3'. x = 33.33333333 Simplifying x = 33.33333333
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