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Simplifying 0.25(40) + 0.7x = 0.5(40 + x) Multiply 0.25 * 40 10 + 0.7x = 0.5(40 + x) 10 + 0.7x = (40 * 0.5 + x * 0.5) 10 + 0.7x = (20 + 0.5x) Solving 10 + 0.7x = 20 + 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. 10 + 0.7x + -0.5x = 20 + 0.5x + -0.5x Combine like terms: 0.7x + -0.5x = 0.2x 10 + 0.2x = 20 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 10 + 0.2x = 20 + 0.0 10 + 0.2x = 20 Add '-10' to each side of the equation. 10 + -10 + 0.2x = 20 + -10 Combine like terms: 10 + -10 = 0 0 + 0.2x = 20 + -10 0.2x = 20 + -10 Combine like terms: 20 + -10 = 10 0.2x = 10 Divide each side by '0.2'. x = 50 Simplifying x = 50
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