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Simplifying 122 + -7x = 11x + 24 Reorder the terms: 122 + -7x = 24 + 11x Solving 122 + -7x = 24 + 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. 122 + -7x + -11x = 24 + 11x + -11x Combine like terms: -7x + -11x = -18x 122 + -18x = 24 + 11x + -11x Combine like terms: 11x + -11x = 0 122 + -18x = 24 + 0 122 + -18x = 24 Add '-122' to each side of the equation. 122 + -122 + -18x = 24 + -122 Combine like terms: 122 + -122 = 0 0 + -18x = 24 + -122 -18x = 24 + -122 Combine like terms: 24 + -122 = -98 -18x = -98 Divide each side by '-18'. x = 5.444444444 Simplifying x = 5.444444444
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