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Simplifying 1.29x + 1.79(9 + -1x) = 13.11 1.29x + (9 * 1.79 + -1x * 1.79) = 13.11 1.29x + (16.11 + -1.79x) = 13.11 Reorder the terms: 16.11 + 1.29x + -1.79x = 13.11 Combine like terms: 1.29x + -1.79x = -0.5x 16.11 + -0.5x = 13.11 Solving 16.11 + -0.5x = 13.11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16.11' to each side of the equation. 16.11 + -16.11 + -0.5x = 13.11 + -16.11 Combine like terms: 16.11 + -16.11 = 0.00 0.00 + -0.5x = 13.11 + -16.11 -0.5x = 13.11 + -16.11 Combine like terms: 13.11 + -16.11 = -3 -0.5x = -3 Divide each side by '-0.5'. x = 6 Simplifying x = 6
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