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Simplifying 0.06x + 0.02(40) = 0.04(x + 40) Multiply 0.02 * 40 0.06x + 0.8 = 0.04(x + 40) Reorder the terms: 0.8 + 0.06x = 0.04(x + 40) Reorder the terms: 0.8 + 0.06x = 0.04(40 + x) 0.8 + 0.06x = (40 * 0.04 + x * 0.04) 0.8 + 0.06x = (1.6 + 0.04x) Solving 0.8 + 0.06x = 1.6 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. 0.8 + 0.06x + -0.04x = 1.6 + 0.04x + -0.04x Combine like terms: 0.06x + -0.04x = 0.02x 0.8 + 0.02x = 1.6 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 0.8 + 0.02x = 1.6 + 0.00 0.8 + 0.02x = 1.6 Add '-0.8' to each side of the equation. 0.8 + -0.8 + 0.02x = 1.6 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.02x = 1.6 + -0.8 0.02x = 1.6 + -0.8 Combine like terms: 1.6 + -0.8 = 0.8 0.02x = 0.8 Divide each side by '0.02'. x = 40 Simplifying x = 40
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