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Simplifying 0.7x + 0.4(10) = 0.5(x + 40) Multiply 0.4 * 10 0.7x + 4 = 0.5(x + 40) Reorder the terms: 4 + 0.7x = 0.5(x + 40) Reorder the terms: 4 + 0.7x = 0.5(40 + x) 4 + 0.7x = (40 * 0.5 + x * 0.5) 4 + 0.7x = (20 + 0.5x) Solving 4 + 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. 4 + 0.7x + -0.5x = 20 + 0.5x + -0.5x Combine like terms: 0.7x + -0.5x = 0.2x 4 + 0.2x = 20 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 4 + 0.2x = 20 + 0.0 4 + 0.2x = 20 Add '-4' to each side of the equation. 4 + -4 + 0.2x = 20 + -4 Combine like terms: 4 + -4 = 0 0 + 0.2x = 20 + -4 0.2x = 20 + -4 Combine like terms: 20 + -4 = 16 0.2x = 16 Divide each side by '0.2'. x = 80 Simplifying x = 80
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