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Simplifying 0.32(12) + 0.05x = 0.15(18 + x) Multiply 0.32 * 12 3.84 + 0.05x = 0.15(18 + x) 3.84 + 0.05x = (18 * 0.15 + x * 0.15) 3.84 + 0.05x = (2.7 + 0.15x) Solving 3.84 + 0.05x = 2.7 + 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. 3.84 + 0.05x + -0.15x = 2.7 + 0.15x + -0.15x Combine like terms: 0.05x + -0.15x = -0.1x 3.84 + -0.1x = 2.7 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 3.84 + -0.1x = 2.7 + 0.00 3.84 + -0.1x = 2.7 Add '-3.84' to each side of the equation. 3.84 + -3.84 + -0.1x = 2.7 + -3.84 Combine like terms: 3.84 + -3.84 = 0.00 0.00 + -0.1x = 2.7 + -3.84 -0.1x = 2.7 + -3.84 Combine like terms: 2.7 + -3.84 = -1.14 -0.1x = -1.14 Divide each side by '-0.1'. x = 11.4 Simplifying x = 11.4
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