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Simplifying 0.01(x + 8) = 0.01(5x + 8) Reorder the terms: 0.01(8 + x) = 0.01(5x + 8) (8 * 0.01 + x * 0.01) = 0.01(5x + 8) (0.08 + 0.01x) = 0.01(5x + 8) Reorder the terms: 0.08 + 0.01x = 0.01(8 + 5x) 0.08 + 0.01x = (8 * 0.01 + 5x * 0.01) 0.08 + 0.01x = (0.08 + 0.05x) Add '-0.08' to each side of the equation. 0.08 + -0.08 + 0.01x = 0.08 + -0.08 + 0.05x Combine like terms: 0.08 + -0.08 = 0.00 0.00 + 0.01x = 0.08 + -0.08 + 0.05x 0.01x = 0.08 + -0.08 + 0.05x Combine like terms: 0.08 + -0.08 = 0.00 0.01x = 0.00 + 0.05x 0.01x = 0.05x Solving 0.01x = 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. 0.01x + -0.05x = 0.05x + -0.05x Combine like terms: 0.01x + -0.05x = -0.04x -0.04x = 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.04x = 0.00 Divide each side by '-0.04'. x = 0 Simplifying x = 0
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