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Simplifying 0.01(5 + -0.2x) = 0.75 + 0.198x (5 * 0.01 + -0.2x * 0.01) = 0.75 + 0.198x (0.05 + -0.002x) = 0.75 + 0.198x Solving 0.05 + -0.002x = 0.75 + 0.198x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.198x' to each side of the equation. 0.05 + -0.002x + -0.198x = 0.75 + 0.198x + -0.198x Combine like terms: -0.002x + -0.198x = -0.2x 0.05 + -0.2x = 0.75 + 0.198x + -0.198x Combine like terms: 0.198x + -0.198x = 0.000 0.05 + -0.2x = 0.75 + 0.000 0.05 + -0.2x = 0.75 Add '-0.05' to each side of the equation. 0.05 + -0.05 + -0.2x = 0.75 + -0.05 Combine like terms: 0.05 + -0.05 = 0.00 0.00 + -0.2x = 0.75 + -0.05 -0.2x = 0.75 + -0.05 Combine like terms: 0.75 + -0.05 = 0.7 -0.2x = 0.7 Divide each side by '-0.2'. x = -3.5 Simplifying x = -3.5
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