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Simplifying 0.92 + 0.98(12 + -1x) = 0.96(12) 0.92 + (12 * 0.98 + -1x * 0.98) = 0.96(12) 0.92 + (11.76 + -0.98x) = 0.96(12) Combine like terms: 0.92 + 11.76 = 12.68 12.68 + -0.98x = 0.96(12) Multiply 0.96 * 12 12.68 + -0.98x = 11.52 Solving 12.68 + -0.98x = 11.52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.68' to each side of the equation. 12.68 + -12.68 + -0.98x = 11.52 + -12.68 Combine like terms: 12.68 + -12.68 = 0.00 0.00 + -0.98x = 11.52 + -12.68 -0.98x = 11.52 + -12.68 Combine like terms: 11.52 + -12.68 = -1.16 -0.98x = -1.16 Divide each side by '-0.98'. x = 1.183673469 Simplifying x = 1.183673469
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