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Simplifying 2.764 + -4.6(2.5x + -5.1433) = 6.31x + 6 Reorder the terms: 2.764 + -4.6(-5.1433 + 2.5x) = 6.31x + 6 2.764 + (-5.1433 * -4.6 + 2.5x * -4.6) = 6.31x + 6 2.764 + (23.65918 + -11.5x) = 6.31x + 6 Combine like terms: 2.764 + 23.65918 = 26.42318 26.42318 + -11.5x = 6.31x + 6 Reorder the terms: 26.42318 + -11.5x = 6 + 6.31x Solving 26.42318 + -11.5x = 6 + 6.31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.31x' to each side of the equation. 26.42318 + -11.5x + -6.31x = 6 + 6.31x + -6.31x Combine like terms: -11.5x + -6.31x = -17.81x 26.42318 + -17.81x = 6 + 6.31x + -6.31x Combine like terms: 6.31x + -6.31x = 0.00 26.42318 + -17.81x = 6 + 0.00 26.42318 + -17.81x = 6 Add '-26.42318' to each side of the equation. 26.42318 + -26.42318 + -17.81x = 6 + -26.42318 Combine like terms: 26.42318 + -26.42318 = 0.00000 0.00000 + -17.81x = 6 + -26.42318 -17.81x = 6 + -26.42318 Combine like terms: 6 + -26.42318 = -20.42318 -17.81x = -20.42318 Divide each side by '-17.81'. x = 1.146725435 Simplifying x = 1.146725435
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