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Simplifying 0.8x + 0.2(40) = 0.65(x + 40) Multiply 0.2 * 40 0.8x + 8 = 0.65(x + 40) Reorder the terms: 8 + 0.8x = 0.65(x + 40) Reorder the terms: 8 + 0.8x = 0.65(40 + x) 8 + 0.8x = (40 * 0.65 + x * 0.65) 8 + 0.8x = (26 + 0.65x) Solving 8 + 0.8x = 26 + 0.65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.65x' to each side of the equation. 8 + 0.8x + -0.65x = 26 + 0.65x + -0.65x Combine like terms: 0.8x + -0.65x = 0.15x 8 + 0.15x = 26 + 0.65x + -0.65x Combine like terms: 0.65x + -0.65x = 0.00 8 + 0.15x = 26 + 0.00 8 + 0.15x = 26 Add '-8' to each side of the equation. 8 + -8 + 0.15x = 26 + -8 Combine like terms: 8 + -8 = 0 0 + 0.15x = 26 + -8 0.15x = 26 + -8 Combine like terms: 26 + -8 = 18 0.15x = 18 Divide each side by '0.15'. x = 120 Simplifying x = 120
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