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Simplifying (12 * 0.7) + 0.05x = 0.44(x + 12) Multiply 12 * 0.7 (8.4) + 0.05x = 0.44(x + 12) 8.4 + 0.05x = 0.44(x + 12) Reorder the terms: 8.4 + 0.05x = 0.44(12 + x) 8.4 + 0.05x = (12 * 0.44 + x * 0.44) 8.4 + 0.05x = (5.28 + 0.44x) Solving 8.4 + 0.05x = 5.28 + 0.44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.44x' to each side of the equation. 8.4 + 0.05x + -0.44x = 5.28 + 0.44x + -0.44x Combine like terms: 0.05x + -0.44x = -0.39x 8.4 + -0.39x = 5.28 + 0.44x + -0.44x Combine like terms: 0.44x + -0.44x = 0.00 8.4 + -0.39x = 5.28 + 0.00 8.4 + -0.39x = 5.28 Add '-8.4' to each side of the equation. 8.4 + -8.4 + -0.39x = 5.28 + -8.4 Combine like terms: 8.4 + -8.4 = 0.0 0.0 + -0.39x = 5.28 + -8.4 -0.39x = 5.28 + -8.4 Combine like terms: 5.28 + -8.4 = -3.12 -0.39x = -3.12 Divide each side by '-0.39'. x = 8 Simplifying x = 8
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