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Simplifying 2.73 + -4.5(2.1x + -5.1432) = 6.32x + 5 Reorder the terms: 2.73 + -4.5(-5.1432 + 2.1x) = 6.32x + 5 2.73 + (-5.1432 * -4.5 + 2.1x * -4.5) = 6.32x + 5 2.73 + (23.1444 + -9.45x) = 6.32x + 5 Combine like terms: 2.73 + 23.1444 = 25.8744 25.8744 + -9.45x = 6.32x + 5 Reorder the terms: 25.8744 + -9.45x = 5 + 6.32x Solving 25.8744 + -9.45x = 5 + 6.32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.32x' to each side of the equation. 25.8744 + -9.45x + -6.32x = 5 + 6.32x + -6.32x Combine like terms: -9.45x + -6.32x = -15.77x 25.8744 + -15.77x = 5 + 6.32x + -6.32x Combine like terms: 6.32x + -6.32x = 0.00 25.8744 + -15.77x = 5 + 0.00 25.8744 + -15.77x = 5 Add '-25.8744' to each side of the equation. 25.8744 + -25.8744 + -15.77x = 5 + -25.8744 Combine like terms: 25.8744 + -25.8744 = 0.0000 0.0000 + -15.77x = 5 + -25.8744 -15.77x = 5 + -25.8744 Combine like terms: 5 + -25.8744 = -20.8744 -15.77x = -20.8744 Divide each side by '-15.77'. x = 1.323677869 Simplifying x = 1.323677869
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