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Simplifying 2(14x + 27y) + -4(23x + -7y) = 236 (14x * 2 + 27y * 2) + -4(23x + -7y) = 236 (28x + 54y) + -4(23x + -7y) = 236 28x + 54y + (23x * -4 + -7y * -4) = 236 28x + 54y + (-92x + 28y) = 236 Reorder the terms: 28x + -92x + 54y + 28y = 236 Combine like terms: 28x + -92x = -64x -64x + 54y + 28y = 236 Combine like terms: 54y + 28y = 82y -64x + 82y = 236 Solving -64x + 82y = 236 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-82y' to each side of the equation. -64x + 82y + -82y = 236 + -82y Combine like terms: 82y + -82y = 0 -64x + 0 = 236 + -82y -64x = 236 + -82y Divide each side by '-64'. x = -3.6875 + 1.28125y Simplifying x = -3.6875 + 1.28125y
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