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Simplifying 0.02 + 0.08 = 0.04(50 + x) Combine like terms: 0.02 + 0.08 = 0.1 0.1 = 0.04(50 + x) 0.1 = (50 * 0.04 + x * 0.04) 0.1 = (2 + 0.04x) Solving 0.1 = 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. 0.1 + -0.04x = 2 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 0.1 + -0.04x = 2 + 0.00 0.1 + -0.04x = 2 Add '-0.1' to each side of the equation. 0.1 + -0.1 + -0.04x = 2 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -0.04x = 2 + -0.1 -0.04x = 2 + -0.1 Combine like terms: 2 + -0.1 = 1.9 -0.04x = 1.9 Divide each side by '-0.04'. x = -47.5 Simplifying x = -47.5
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