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Simplifying 0.05x + 4.5 = 0.2(x + 0.05) Reorder the terms: 4.5 + 0.05x = 0.2(x + 0.05) Reorder the terms: 4.5 + 0.05x = 0.2(0.05 + x) 4.5 + 0.05x = (0.05 * 0.2 + x * 0.2) 4.5 + 0.05x = (0.01 + 0.2x) Solving 4.5 + 0.05x = 0.01 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 4.5 + 0.05x + -0.2x = 0.01 + 0.2x + -0.2x Combine like terms: 0.05x + -0.2x = -0.15x 4.5 + -0.15x = 0.01 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 4.5 + -0.15x = 0.01 + 0.0 4.5 + -0.15x = 0.01 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -0.15x = 0.01 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -0.15x = 0.01 + -4.5 -0.15x = 0.01 + -4.5 Combine like terms: 0.01 + -4.5 = -4.49 -0.15x = -4.49 Divide each side by '-0.15'. x = 29.93333333 Simplifying x = 29.93333333
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