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Simplifying 0.04x + 0.12 + (20) = 0.09(x + 20) 0.04x + 0.12 + 20 = 0.09(x + 20) Reorder the terms: 0.12 + 20 + 0.04x = 0.09(x + 20) Combine like terms: 0.12 + 20 = 20.12 20.12 + 0.04x = 0.09(x + 20) Reorder the terms: 20.12 + 0.04x = 0.09(20 + x) 20.12 + 0.04x = (20 * 0.09 + x * 0.09) 20.12 + 0.04x = (1.8 + 0.09x) Solving 20.12 + 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. 20.12 + 0.04x + -0.09x = 1.8 + 0.09x + -0.09x Combine like terms: 0.04x + -0.09x = -0.05x 20.12 + -0.05x = 1.8 + 0.09x + -0.09x Combine like terms: 0.09x + -0.09x = 0.00 20.12 + -0.05x = 1.8 + 0.00 20.12 + -0.05x = 1.8 Add '-20.12' to each side of the equation. 20.12 + -20.12 + -0.05x = 1.8 + -20.12 Combine like terms: 20.12 + -20.12 = 0.00 0.00 + -0.05x = 1.8 + -20.12 -0.05x = 1.8 + -20.12 Combine like terms: 1.8 + -20.12 = -18.32 -0.05x = -18.32 Divide each side by '-0.05'. x = 366.4 Simplifying x = 366.4
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