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Simplifying 0.35(80) + 0.7x = 0.5(80 + x) Multiply 0.35 * 80 28 + 0.7x = 0.5(80 + x) 28 + 0.7x = (80 * 0.5 + x * 0.5) 28 + 0.7x = (40 + 0.5x) Solving 28 + 0.7x = 40 + 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. 28 + 0.7x + -0.5x = 40 + 0.5x + -0.5x Combine like terms: 0.7x + -0.5x = 0.2x 28 + 0.2x = 40 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 28 + 0.2x = 40 + 0.0 28 + 0.2x = 40 Add '-28' to each side of the equation. 28 + -28 + 0.2x = 40 + -28 Combine like terms: 28 + -28 = 0 0 + 0.2x = 40 + -28 0.2x = 40 + -28 Combine like terms: 40 + -28 = 12 0.2x = 12 Divide each side by '0.2'. x = 60 Simplifying x = 60
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