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Simplifying 9(2x + 3) + 2 = 11(x + -1y) Reorder the terms: 9(3 + 2x) + 2 = 11(x + -1y) (3 * 9 + 2x * 9) + 2 = 11(x + -1y) (27 + 18x) + 2 = 11(x + -1y) Reorder the terms: 27 + 2 + 18x = 11(x + -1y) Combine like terms: 27 + 2 = 29 29 + 18x = 11(x + -1y) 29 + 18x = (x * 11 + -1y * 11) 29 + 18x = (11x + -11y) Solving 29 + 18x = 11x + -11y 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. 29 + 18x + -11x = 11x + -11x + -11y Combine like terms: 18x + -11x = 7x 29 + 7x = 11x + -11x + -11y Combine like terms: 11x + -11x = 0 29 + 7x = 0 + -11y 29 + 7x = -11y Add '-29' to each side of the equation. 29 + -29 + 7x = -29 + -11y Combine like terms: 29 + -29 = 0 0 + 7x = -29 + -11y 7x = -29 + -11y Divide each side by '7'. x = -4.142857143 + -1.571428571y Simplifying x = -4.142857143 + -1.571428571y
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