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Simplifying (4x + 6y) * 86 = 94(5x + 6y) Reorder the terms for easier multiplication: 86(4x + 6y) = 94(5x + 6y) (4x * 86 + 6y * 86) = 94(5x + 6y) (344x + 516y) = 94(5x + 6y) 344x + 516y = (5x * 94 + 6y * 94) 344x + 516y = (470x + 564y) Solving 344x + 516y = 470x + 564y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-470x' to each side of the equation. 344x + -470x + 516y = 470x + -470x + 564y Combine like terms: 344x + -470x = -126x -126x + 516y = 470x + -470x + 564y Combine like terms: 470x + -470x = 0 -126x + 516y = 0 + 564y -126x + 516y = 564y Add '-516y' to each side of the equation. -126x + 516y + -516y = 564y + -516y Combine like terms: 516y + -516y = 0 -126x + 0 = 564y + -516y -126x = 564y + -516y Combine like terms: 564y + -516y = 48y -126x = 48y Divide each side by '-126'. x = -0.380952381y Simplifying x = -0.380952381y
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