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Simplifying 0.01(x + 12) + -0.12 = 0.01(5x + 12) Reorder the terms: 0.01(12 + x) + -0.12 = 0.01(5x + 12) (12 * 0.01 + x * 0.01) + -0.12 = 0.01(5x + 12) (0.12 + 0.01x) + -0.12 = 0.01(5x + 12) Reorder the terms: 0.12 + -0.12 + 0.01x = 0.01(5x + 12) Combine like terms: 0.12 + -0.12 = 0.00 0.00 + 0.01x = 0.01(5x + 12) 0.01x = 0.01(5x + 12) Reorder the terms: 0.01x = 0.01(12 + 5x) 0.01x = (12 * 0.01 + 5x * 0.01) 0.01x = (0.12 + 0.05x) Solving 0.01x = 0.12 + 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 = 0.12 + 0.05x + -0.05x Combine like terms: 0.01x + -0.05x = -0.04x -0.04x = 0.12 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.04x = 0.12 + 0.00 -0.04x = 0.12 Divide each side by '-0.04'. x = -3 Simplifying x = -3
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