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Simplifying 100 + -6x = 5x + 24 Reorder the terms: 100 + -6x = 24 + 5x Solving 100 + -6x = 24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 100 + -6x + -5x = 24 + 5x + -5x Combine like terms: -6x + -5x = -11x 100 + -11x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 100 + -11x = 24 + 0 100 + -11x = 24 Add '-100' to each side of the equation. 100 + -100 + -11x = 24 + -100 Combine like terms: 100 + -100 = 0 0 + -11x = 24 + -100 -11x = 24 + -100 Combine like terms: 24 + -100 = -76 -11x = -76 Divide each side by '-11'. x = 6.909090909 Simplifying x = 6.909090909
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