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Simplifying 90x + 120y = 100(x + y) 90x + 120y = (x * 100 + y * 100) 90x + 120y = (100x + 100y) Solving 90x + 120y = 100x + 100y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. 90x + -100x + 120y = 100x + -100x + 100y Combine like terms: 90x + -100x = -10x -10x + 120y = 100x + -100x + 100y Combine like terms: 100x + -100x = 0 -10x + 120y = 0 + 100y -10x + 120y = 100y Add '-120y' to each side of the equation. -10x + 120y + -120y = 100y + -120y Combine like terms: 120y + -120y = 0 -10x + 0 = 100y + -120y -10x = 100y + -120y Combine like terms: 100y + -120y = -20y -10x = -20y Divide each side by '-10'. x = 2y Simplifying x = 2y
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