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Simplifying 54 + 24x = 83 + 35x + 30 Reorder the terms: 54 + 24x = 83 + 30 + 35x Combine like terms: 83 + 30 = 113 54 + 24x = 113 + 35x Solving 54 + 24x = 113 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 54 + 24x + -35x = 113 + 35x + -35x Combine like terms: 24x + -35x = -11x 54 + -11x = 113 + 35x + -35x Combine like terms: 35x + -35x = 0 54 + -11x = 113 + 0 54 + -11x = 113 Add '-54' to each side of the equation. 54 + -54 + -11x = 113 + -54 Combine like terms: 54 + -54 = 0 0 + -11x = 113 + -54 -11x = 113 + -54 Combine like terms: 113 + -54 = 59 -11x = 59 Divide each side by '-11'. x = -5.363636364 Simplifying x = -5.363636364
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