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Simplifying 0.04x + 0.06(20 + -1x) = 0.05(50) 0.04x + (20 * 0.06 + -1x * 0.06) = 0.05(50) 0.04x + (1.2 + -0.06x) = 0.05(50) Reorder the terms: 1.2 + 0.04x + -0.06x = 0.05(50) Combine like terms: 0.04x + -0.06x = -0.02x 1.2 + -0.02x = 0.05(50) Multiply 0.05 * 50 1.2 + -0.02x = 2.5 Solving 1.2 + -0.02x = 2.5 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 + -0.02x = 2.5 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -0.02x = 2.5 + -1.2 -0.02x = 2.5 + -1.2 Combine like terms: 2.5 + -1.2 = 1.3 -0.02x = 1.3 Divide each side by '-0.02'. x = -65 Simplifying x = -65
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