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Simplifying 0.1(x) + 0.06(20 + -1x) = 0.08(20) 0.1x + (20 * 0.06 + -1x * 0.06) = 0.08(20) 0.1x + (1.2 + -0.06x) = 0.08(20) Reorder the terms: 1.2 + 0.1x + -0.06x = 0.08(20) Combine like terms: 0.1x + -0.06x = 0.04x 1.2 + 0.04x = 0.08(20) Multiply 0.08 * 20 1.2 + 0.04x = 1.6 Solving 1.2 + 0.04x = 1.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2' to each side of the equation. 1.2 + -1.2 + 0.04x = 1.6 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 0.04x = 1.6 + -1.2 0.04x = 1.6 + -1.2 Combine like terms: 1.6 + -1.2 = 0.4 0.04x = 0.4 Divide each side by '0.04'. x = 10 Simplifying x = 10
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