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Simplifying 8x + y = 10x + 7y + -4 Reorder the terms: 8x + y = -4 + 10x + 7y Solving 8x + y = -4 + 10x + 7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 8x + -10x + y = -4 + 10x + -10x + 7y Combine like terms: 8x + -10x = -2x -2x + y = -4 + 10x + -10x + 7y Combine like terms: 10x + -10x = 0 -2x + y = -4 + 0 + 7y -2x + y = -4 + 7y Add '-1y' to each side of the equation. -2x + y + -1y = -4 + 7y + -1y Combine like terms: y + -1y = 0 -2x + 0 = -4 + 7y + -1y -2x = -4 + 7y + -1y Combine like terms: 7y + -1y = 6y -2x = -4 + 6y Divide each side by '-2'. x = 2 + -3y Simplifying x = 2 + -3y
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