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Simplifying 10x + y + -3 = 6(x + y) Reorder the terms: -3 + 10x + y = 6(x + y) -3 + 10x + y = (x * 6 + y * 6) -3 + 10x + y = (6x + 6y) Solving -3 + 10x + y = 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. -3 + 10x + -6x + y = 6x + -6x + 6y Combine like terms: 10x + -6x = 4x -3 + 4x + y = 6x + -6x + 6y Combine like terms: 6x + -6x = 0 -3 + 4x + y = 0 + 6y -3 + 4x + y = 6y Add '3' to each side of the equation. -3 + 4x + 3 + y = 3 + 6y Reorder the terms: -3 + 3 + 4x + y = 3 + 6y Combine like terms: -3 + 3 = 0 0 + 4x + y = 3 + 6y 4x + y = 3 + 6y Add '-1y' to each side of the equation. 4x + y + -1y = 3 + 6y + -1y Combine like terms: y + -1y = 0 4x + 0 = 3 + 6y + -1y 4x = 3 + 6y + -1y Combine like terms: 6y + -1y = 5y 4x = 3 + 5y Divide each side by '4'. x = 0.75 + 1.25y Simplifying x = 0.75 + 1.25y
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