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Simplifying 0.92x + 0.98(12 + -1x) = 0.96(12) 0.92x + (12 * 0.98 + -1x * 0.98) = 0.96(12) 0.92x + (11.76 + -0.98x) = 0.96(12) Reorder the terms: 11.76 + 0.92x + -0.98x = 0.96(12) Combine like terms: 0.92x + -0.98x = -0.06x 11.76 + -0.06x = 0.96(12) Multiply 0.96 * 12 11.76 + -0.06x = 11.52 Solving 11.76 + -0.06x = 11.52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11.76' to each side of the equation. 11.76 + -11.76 + -0.06x = 11.52 + -11.76 Combine like terms: 11.76 + -11.76 = 0.00 0.00 + -0.06x = 11.52 + -11.76 -0.06x = 11.52 + -11.76 Combine like terms: 11.52 + -11.76 = -0.24 -0.06x = -0.24 Divide each side by '-0.06'. x = 4 Simplifying x = 4
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