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Simplifying 0.92x + 0.48(12 + -1x) = 0.96(12) 0.92x + (12 * 0.48 + -1x * 0.48) = 0.96(12) 0.92x + (5.76 + -0.48x) = 0.96(12) Reorder the terms: 5.76 + 0.92x + -0.48x = 0.96(12) Combine like terms: 0.92x + -0.48x = 0.44x 5.76 + 0.44x = 0.96(12) Multiply 0.96 * 12 5.76 + 0.44x = 11.52 Solving 5.76 + 0.44x = 11.52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.76' to each side of the equation. 5.76 + -5.76 + 0.44x = 11.52 + -5.76 Combine like terms: 5.76 + -5.76 = 0.00 0.00 + 0.44x = 11.52 + -5.76 0.44x = 11.52 + -5.76 Combine like terms: 11.52 + -5.76 = 5.76 0.44x = 5.76 Divide each side by '0.44'. x = 13.09090909 Simplifying x = 13.09090909
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