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Simplifying 7x + 24 = 11x + 22 Reorder the terms: 24 + 7x = 11x + 22 Reorder the terms: 24 + 7x = 22 + 11x Solving 24 + 7x = 22 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 24 + 7x + -11x = 22 + 11x + -11x Combine like terms: 7x + -11x = -4x 24 + -4x = 22 + 11x + -11x Combine like terms: 11x + -11x = 0 24 + -4x = 22 + 0 24 + -4x = 22 Add '-24' to each side of the equation. 24 + -24 + -4x = 22 + -24 Combine like terms: 24 + -24 = 0 0 + -4x = 22 + -24 -4x = 22 + -24 Combine like terms: 22 + -24 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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