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Simplifying 10x + y = 6(x + y) + 1 10x + y = (x * 6 + y * 6) + 1 10x + y = (6x + 6y) + 1 Reorder the terms: 10x + y = 1 + 6x + 6y Solving 10x + y = 1 + 6x + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10x + -6x + y = 1 + 6x + -6x + 6y Combine like terms: 10x + -6x = 4x 4x + y = 1 + 6x + -6x + 6y Combine like terms: 6x + -6x = 0 4x + y = 1 + 0 + 6y 4x + y = 1 + 6y Add '-1y' to each side of the equation. 4x + y + -1y = 1 + 6y + -1y Combine like terms: y + -1y = 0 4x + 0 = 1 + 6y + -1y 4x = 1 + 6y + -1y Combine like terms: 6y + -1y = 5y 4x = 1 + 5y Divide each side by '4'. x = 0.25 + 1.25y Simplifying x = 0.25 + 1.25y
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