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Simplifying 0.12x + 0.32(12 + -1x) = 0.27(120) 0.12x + (12 * 0.32 + -1x * 0.32) = 0.27(120) 0.12x + (3.84 + -0.32x) = 0.27(120) Reorder the terms: 3.84 + 0.12x + -0.32x = 0.27(120) Combine like terms: 0.12x + -0.32x = -0.2x 3.84 + -0.2x = 0.27(120) Multiply 0.27 * 120 3.84 + -0.2x = 32.4 Solving 3.84 + -0.2x = 32.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.84' to each side of the equation. 3.84 + -3.84 + -0.2x = 32.4 + -3.84 Combine like terms: 3.84 + -3.84 = 0.00 0.00 + -0.2x = 32.4 + -3.84 -0.2x = 32.4 + -3.84 Combine like terms: 32.4 + -3.84 = 28.56 -0.2x = 28.56 Divide each side by '-0.2'. x = -142.8 Simplifying x = -142.8
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