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Simplifying 8.79x + 100 = 77.2641 + 10x Reorder the terms: 100 + 8.79x = 77.2641 + 10x Solving 100 + 8.79x = 77.2641 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 100 + 8.79x + -10x = 77.2641 + 10x + -10x Combine like terms: 8.79x + -10x = -1.21x 100 + -1.21x = 77.2641 + 10x + -10x Combine like terms: 10x + -10x = 0 100 + -1.21x = 77.2641 + 0 100 + -1.21x = 77.2641 Add '-100' to each side of the equation. 100 + -100 + -1.21x = 77.2641 + -100 Combine like terms: 100 + -100 = 0 0 + -1.21x = 77.2641 + -100 -1.21x = 77.2641 + -100 Combine like terms: 77.2641 + -100 = -22.7359 -1.21x = -22.7359 Divide each side by '-1.21'. x = 18.79 Simplifying x = 18.79
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