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Simplifying 0.001(x + 12) + -0.12 = 0.01(5x + 12) Reorder the terms: 0.001(12 + x) + -0.12 = 0.01(5x + 12) (12 * 0.001 + x * 0.001) + -0.12 = 0.01(5x + 12) (0.012 + 0.001x) + -0.12 = 0.01(5x + 12) Reorder the terms: 0.012 + -0.12 + 0.001x = 0.01(5x + 12) Combine like terms: 0.012 + -0.12 = -0.108 -0.108 + 0.001x = 0.01(5x + 12) Reorder the terms: -0.108 + 0.001x = 0.01(12 + 5x) -0.108 + 0.001x = (12 * 0.01 + 5x * 0.01) -0.108 + 0.001x = (0.12 + 0.05x) Solving -0.108 + 0.001x = 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. -0.108 + 0.001x + -0.05x = 0.12 + 0.05x + -0.05x Combine like terms: 0.001x + -0.05x = -0.049x -0.108 + -0.049x = 0.12 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.108 + -0.049x = 0.12 + 0.00 -0.108 + -0.049x = 0.12 Add '0.108' to each side of the equation. -0.108 + 0.108 + -0.049x = 0.12 + 0.108 Combine like terms: -0.108 + 0.108 = 0.000 0.000 + -0.049x = 0.12 + 0.108 -0.049x = 0.12 + 0.108 Combine like terms: 0.12 + 0.108 = 0.228 -0.049x = 0.228 Divide each side by '-0.049'. x = -4.653061224 Simplifying x = -4.653061224
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