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Simplifying 10x + y = 1 + 6(10x + y) 10x + y = 1 + (10x * 6 + y * 6) 10x + y = 1 + (60x + 6y) Solving 10x + y = 1 + 60x + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. 10x + -60x + y = 1 + 60x + -60x + 6y Combine like terms: 10x + -60x = -50x -50x + y = 1 + 60x + -60x + 6y Combine like terms: 60x + -60x = 0 -50x + y = 1 + 0 + 6y -50x + y = 1 + 6y Add '-1y' to each side of the equation. -50x + y + -1y = 1 + 6y + -1y Combine like terms: y + -1y = 0 -50x + 0 = 1 + 6y + -1y -50x = 1 + 6y + -1y Combine like terms: 6y + -1y = 5y -50x = 1 + 5y Divide each side by '-50'. x = -0.02 + -0.1y Simplifying x = -0.02 + -0.1y
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