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Simplifying 0.1 + 0.15(20 + x) = 0.12(20) 0.1 + (20 * 0.15 + x * 0.15) = 0.12(20) 0.1 + (3 + 0.15x) = 0.12(20) Combine like terms: 0.1 + 3 = 3.1 3.1 + 0.15x = 0.12(20) Multiply 0.12 * 20 3.1 + 0.15x = 2.4 Solving 3.1 + 0.15x = 2.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.1' to each side of the equation. 3.1 + -3.1 + 0.15x = 2.4 + -3.1 Combine like terms: 3.1 + -3.1 = 0.0 0.0 + 0.15x = 2.4 + -3.1 0.15x = 2.4 + -3.1 Combine like terms: 2.4 + -3.1 = -0.7 0.15x = -0.7 Divide each side by '0.15'. x = -4.666666667 Simplifying x = -4.666666667
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