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Simplifying 0.5(40) + 0.8x = 0.7(40 + x) Multiply 0.5 * 40 20 + 0.8x = 0.7(40 + x) 20 + 0.8x = (40 * 0.7 + x * 0.7) 20 + 0.8x = (28 + 0.7x) Solving 20 + 0.8x = 28 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. 20 + 0.8x + -0.7x = 28 + 0.7x + -0.7x Combine like terms: 0.8x + -0.7x = 0.1x 20 + 0.1x = 28 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 20 + 0.1x = 28 + 0.0 20 + 0.1x = 28 Add '-20' to each side of the equation. 20 + -20 + 0.1x = 28 + -20 Combine like terms: 20 + -20 = 0 0 + 0.1x = 28 + -20 0.1x = 28 + -20 Combine like terms: 28 + -20 = 8 0.1x = 8 Divide each side by '0.1'. x = 80 Simplifying x = 80
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