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Simplifying 0.92x + 0.8(12 + -1x) = 0.96(12) 0.92x + (12 * 0.8 + -1x * 0.8) = 0.96(12) 0.92x + (9.6 + -0.8x) = 0.96(12) Reorder the terms: 9.6 + 0.92x + -0.8x = 0.96(12) Combine like terms: 0.92x + -0.8x = 0.12x 9.6 + 0.12x = 0.96(12) Multiply 0.96 * 12 9.6 + 0.12x = 11.52 Solving 9.6 + 0.12x = 11.52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.6' to each side of the equation. 9.6 + -9.6 + 0.12x = 11.52 + -9.6 Combine like terms: 9.6 + -9.6 = 0.0 0.0 + 0.12x = 11.52 + -9.6 0.12x = 11.52 + -9.6 Combine like terms: 11.52 + -9.6 = 1.92 0.12x = 1.92 Divide each side by '0.12'. x = 16 Simplifying x = 16
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