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Simplifying 0.7x + 0.3(20) = 0.5(x + 40) Multiply 0.3 * 20 0.7x + 6 = 0.5(x + 40) Reorder the terms: 6 + 0.7x = 0.5(x + 40) Reorder the terms: 6 + 0.7x = 0.5(40 + x) 6 + 0.7x = (40 * 0.5 + x * 0.5) 6 + 0.7x = (20 + 0.5x) Solving 6 + 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. 6 + 0.7x + -0.5x = 20 + 0.5x + -0.5x Combine like terms: 0.7x + -0.5x = 0.2x 6 + 0.2x = 20 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 6 + 0.2x = 20 + 0.0 6 + 0.2x = 20 Add '-6' to each side of the equation. 6 + -6 + 0.2x = 20 + -6 Combine like terms: 6 + -6 = 0 0 + 0.2x = 20 + -6 0.2x = 20 + -6 Combine like terms: 20 + -6 = 14 0.2x = 14 Divide each side by '0.2'. x = 70 Simplifying x = 70
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