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Simplifying 74 + -7x = 11x + 24 Reorder the terms: 74 + -7x = 24 + 11x Solving 74 + -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. 74 + -7x + -11x = 24 + 11x + -11x Combine like terms: -7x + -11x = -18x 74 + -18x = 24 + 11x + -11x Combine like terms: 11x + -11x = 0 74 + -18x = 24 + 0 74 + -18x = 24 Add '-74' to each side of the equation. 74 + -74 + -18x = 24 + -74 Combine like terms: 74 + -74 = 0 0 + -18x = 24 + -74 -18x = 24 + -74 Combine like terms: 24 + -74 = -50 -18x = -50 Divide each side by '-18'. x = 2.777777778 Simplifying x = 2.777777778
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