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Simplifying 0.02(50) + 0.08 = 0.04(50 + x) Multiply 0.02 * 50 1 + 0.08 = 0.04(50 + x) Combine like terms: 1 + 0.08 = 1.08 1.08 = 0.04(50 + x) 1.08 = (50 * 0.04 + x * 0.04) 1.08 = (2 + 0.04x) Solving 1.08 = 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. 1.08 + -0.04x = 2 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 1.08 + -0.04x = 2 + 0.00 1.08 + -0.04x = 2 Add '-1.08' to each side of the equation. 1.08 + -1.08 + -0.04x = 2 + -1.08 Combine like terms: 1.08 + -1.08 = 0.00 0.00 + -0.04x = 2 + -1.08 -0.04x = 2 + -1.08 Combine like terms: 2 + -1.08 = 0.92 -0.04x = 0.92 Divide each side by '-0.04'. x = -23 Simplifying x = -23
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