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Simplifying 0.92x + 0.96(12 + -1x) = 11.28 0.92x + (12 * 0.96 + -1x * 0.96) = 11.28 0.92x + (11.52 + -0.96x) = 11.28 Reorder the terms: 11.52 + 0.92x + -0.96x = 11.28 Combine like terms: 0.92x + -0.96x = -0.04x 11.52 + -0.04x = 11.28 Solving 11.52 + -0.04x = 11.28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11.52' to each side of the equation. 11.52 + -11.52 + -0.04x = 11.28 + -11.52 Combine like terms: 11.52 + -11.52 = 0.00 0.00 + -0.04x = 11.28 + -11.52 -0.04x = 11.28 + -11.52 Combine like terms: 11.28 + -11.52 = -0.24 -0.04x = -0.24 Divide each side by '-0.04'. x = 6 Simplifying x = 6
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