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Simplifying 9.1x + 100 = 82.81 + 10x Reorder the terms: 100 + 9.1x = 82.81 + 10x Solving 100 + 9.1x = 82.81 + 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 + 9.1x + -10x = 82.81 + 10x + -10x Combine like terms: 9.1x + -10x = -0.9x 100 + -0.9x = 82.81 + 10x + -10x Combine like terms: 10x + -10x = 0 100 + -0.9x = 82.81 + 0 100 + -0.9x = 82.81 Add '-100' to each side of the equation. 100 + -100 + -0.9x = 82.81 + -100 Combine like terms: 100 + -100 = 0 0 + -0.9x = 82.81 + -100 -0.9x = 82.81 + -100 Combine like terms: 82.81 + -100 = -17.19 -0.9x = -17.19 Divide each side by '-0.9'. x = 19.1 Simplifying x = 19.1
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