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Simplifying 10x + 7y + -4 = 8x + y Reorder the terms: -4 + 10x + 7y = 8x + y Solving -4 + 10x + 7y = 8x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -4 + 10x + -8x + 7y = 8x + -8x + y Combine like terms: 10x + -8x = 2x -4 + 2x + 7y = 8x + -8x + y Combine like terms: 8x + -8x = 0 -4 + 2x + 7y = 0 + y -4 + 2x + 7y = y Add '4' to each side of the equation. -4 + 2x + 4 + 7y = 4 + y Reorder the terms: -4 + 4 + 2x + 7y = 4 + y Combine like terms: -4 + 4 = 0 0 + 2x + 7y = 4 + y 2x + 7y = 4 + y Add '-7y' to each side of the equation. 2x + 7y + -7y = 4 + y + -7y Combine like terms: 7y + -7y = 0 2x + 0 = 4 + y + -7y 2x = 4 + y + -7y Combine like terms: y + -7y = -6y 2x = 4 + -6y Divide each side by '2'. x = 2 + -3y Simplifying x = 2 + -3y
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