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Simplifying 0.05x + 0.03(80) = 0.04(x + 80) Multiply 0.03 * 80 0.05x + 2.4 = 0.04(x + 80) Reorder the terms: 2.4 + 0.05x = 0.04(x + 80) Reorder the terms: 2.4 + 0.05x = 0.04(80 + x) 2.4 + 0.05x = (80 * 0.04 + x * 0.04) 2.4 + 0.05x = (3.2 + 0.04x) Solving 2.4 + 0.05x = 3.2 + 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. 2.4 + 0.05x + -0.04x = 3.2 + 0.04x + -0.04x Combine like terms: 0.05x + -0.04x = 0.01x 2.4 + 0.01x = 3.2 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 2.4 + 0.01x = 3.2 + 0.00 2.4 + 0.01x = 3.2 Add '-2.4' to each side of the equation. 2.4 + -2.4 + 0.01x = 3.2 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 0.01x = 3.2 + -2.4 0.01x = 3.2 + -2.4 Combine like terms: 3.2 + -2.4 = 0.8 0.01x = 0.8 Divide each side by '0.01'. x = 80 Simplifying x = 80
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