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Simplifying 51 + -7x = 11x + 17 Reorder the terms: 51 + -7x = 17 + 11x Solving 51 + -7x = 17 + 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. 51 + -7x + -11x = 17 + 11x + -11x Combine like terms: -7x + -11x = -18x 51 + -18x = 17 + 11x + -11x Combine like terms: 11x + -11x = 0 51 + -18x = 17 + 0 51 + -18x = 17 Add '-51' to each side of the equation. 51 + -51 + -18x = 17 + -51 Combine like terms: 51 + -51 = 0 0 + -18x = 17 + -51 -18x = 17 + -51 Combine like terms: 17 + -51 = -34 -18x = -34 Divide each side by '-18'. x = 1.888888889 Simplifying x = 1.888888889
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