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Simplifying 0.02(60) + 0.04(x) = (0.03)(50 + x) Multiply 0.02 * 60 1.2 + 0.04(x) = (0.03)(50 + x) 1.2 + 0.04x = (50 * 0.03 + x * 0.03) 1.2 + 0.04x = (1.5 + 0.03x) Solving 1.2 + 0.04x = 1.5 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. 1.2 + 0.04x + -0.03x = 1.5 + 0.03x + -0.03x Combine like terms: 0.04x + -0.03x = 0.01x 1.2 + 0.01x = 1.5 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 1.2 + 0.01x = 1.5 + 0.00 1.2 + 0.01x = 1.5 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 0.01x = 1.5 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 0.01x = 1.5 + -1.2 0.01x = 1.5 + -1.2 Combine like terms: 1.5 + -1.2 = 0.3 0.01x = 0.3 Divide each side by '0.01'. x = 30 Simplifying x = 30
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