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Simplifying 17(3x + 9y) = 21(5x + 6y) (3x * 17 + 9y * 17) = 21(5x + 6y) (51x + 153y) = 21(5x + 6y) 51x + 153y = (5x * 21 + 6y * 21) 51x + 153y = (105x + 126y) Solving 51x + 153y = 105x + 126y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-105x' to each side of the equation. 51x + -105x + 153y = 105x + -105x + 126y Combine like terms: 51x + -105x = -54x -54x + 153y = 105x + -105x + 126y Combine like terms: 105x + -105x = 0 -54x + 153y = 0 + 126y -54x + 153y = 126y Add '-153y' to each side of the equation. -54x + 153y + -153y = 126y + -153y Combine like terms: 153y + -153y = 0 -54x + 0 = 126y + -153y -54x = 126y + -153y Combine like terms: 126y + -153y = -27y -54x = -27y Divide each side by '-54'. x = 0.5y Simplifying x = 0.5y
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