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Simplifying 4x + -1y = 3y + 7x + 8y Reorder the terms: 4x + -1y = 7x + 3y + 8y Combine like terms: 3y + 8y = 11y 4x + -1y = 7x + 11y Solving 4x + -1y = 7x + 11y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4x + -7x + -1y = 7x + -7x + 11y Combine like terms: 4x + -7x = -3x -3x + -1y = 7x + -7x + 11y Combine like terms: 7x + -7x = 0 -3x + -1y = 0 + 11y -3x + -1y = 11y Add 'y' to each side of the equation. -3x + -1y + y = 11y + y Combine like terms: -1y + y = 0 -3x + 0 = 11y + y -3x = 11y + y Combine like terms: 11y + y = 12y -3x = 12y Divide each side by '-3'. x = -4y Simplifying x = -4y
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