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Simplifying -6(3x + 9y) + 7y + -2x = 7 + 16 + -3y + 8x + 2(7 + -11x) (3x * -6 + 9y * -6) + 7y + -2x = 7 + 16 + -3y + 8x + 2(7 + -11x) (-18x + -54y) + 7y + -2x = 7 + 16 + -3y + 8x + 2(7 + -11x) Reorder the terms: -18x + -2x + -54y + 7y = 7 + 16 + -3y + 8x + 2(7 + -11x) Combine like terms: -18x + -2x = -20x -20x + -54y + 7y = 7 + 16 + -3y + 8x + 2(7 + -11x) Combine like terms: -54y + 7y = -47y -20x + -47y = 7 + 16 + -3y + 8x + 2(7 + -11x) -20x + -47y = 7 + 16 + -3y + 8x + (7 * 2 + -11x * 2) -20x + -47y = 7 + 16 + -3y + 8x + (14 + -22x) Reorder the terms: -20x + -47y = 7 + 16 + 14 + 8x + -22x + -3y Combine like terms: 7 + 16 = 23 -20x + -47y = 23 + 14 + 8x + -22x + -3y Combine like terms: 23 + 14 = 37 -20x + -47y = 37 + 8x + -22x + -3y Combine like terms: 8x + -22x = -14x -20x + -47y = 37 + -14x + -3y Solving -20x + -47y = 37 + -14x + -3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -20x + 14x + -47y = 37 + -14x + 14x + -3y Combine like terms: -20x + 14x = -6x -6x + -47y = 37 + -14x + 14x + -3y Combine like terms: -14x + 14x = 0 -6x + -47y = 37 + 0 + -3y -6x + -47y = 37 + -3y Add '47y' to each side of the equation. -6x + -47y + 47y = 37 + -3y + 47y Combine like terms: -47y + 47y = 0 -6x + 0 = 37 + -3y + 47y -6x = 37 + -3y + 47y Combine like terms: -3y + 47y = 44y -6x = 37 + 44y Divide each side by '-6'. x = -6.166666667 + -7.333333333y Simplifying x = -6.166666667 + -7.333333333y
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