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Simplifying 3x + 43y + -14x + 21y = -231 + 34x Reorder the terms: 3x + -14x + 43y + 21y = -231 + 34x Combine like terms: 3x + -14x = -11x -11x + 43y + 21y = -231 + 34x Combine like terms: 43y + 21y = 64y -11x + 64y = -231 + 34x Solving -11x + 64y = -231 + 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. -11x + -34x + 64y = -231 + 34x + -34x Combine like terms: -11x + -34x = -45x -45x + 64y = -231 + 34x + -34x Combine like terms: 34x + -34x = 0 -45x + 64y = -231 + 0 -45x + 64y = -231 Add '-64y' to each side of the equation. -45x + 64y + -64y = -231 + -64y Combine like terms: 64y + -64y = 0 -45x + 0 = -231 + -64y -45x = -231 + -64y Divide each side by '-45'. x = 5.133333333 + 1.422222222y Simplifying x = 5.133333333 + 1.422222222y
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