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Simplifying 0.04x + 0.012 + (120) = 0.09(x + 20) 0.04x + 0.012 + 120 = 0.09(x + 20) Reorder the terms: 0.012 + 120 + 0.04x = 0.09(x + 20) Combine like terms: 0.012 + 120 = 120.012 120.012 + 0.04x = 0.09(x + 20) Reorder the terms: 120.012 + 0.04x = 0.09(20 + x) 120.012 + 0.04x = (20 * 0.09 + x * 0.09) 120.012 + 0.04x = (1.8 + 0.09x) Solving 120.012 + 0.04x = 1.8 + 0.09x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.09x' to each side of the equation. 120.012 + 0.04x + -0.09x = 1.8 + 0.09x + -0.09x Combine like terms: 0.04x + -0.09x = -0.05x 120.012 + -0.05x = 1.8 + 0.09x + -0.09x Combine like terms: 0.09x + -0.09x = 0.00 120.012 + -0.05x = 1.8 + 0.00 120.012 + -0.05x = 1.8 Add '-120.012' to each side of the equation. 120.012 + -120.012 + -0.05x = 1.8 + -120.012 Combine like terms: 120.012 + -120.012 = 0.000 0.000 + -0.05x = 1.8 + -120.012 -0.05x = 1.8 + -120.012 Combine like terms: 1.8 + -120.012 = -118.212 -0.05x = -118.212 Divide each side by '-0.05'. x = 2364.24 Simplifying x = 2364.24
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