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Simplifying 4x + 3y + -8 = 22 + -1x + 8y Reorder the terms: -8 + 4x + 3y = 22 + -1x + 8y Solving -8 + 4x + 3y = 22 + -1x + 8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -8 + 4x + x + 3y = 22 + -1x + x + 8y Combine like terms: 4x + x = 5x -8 + 5x + 3y = 22 + -1x + x + 8y Combine like terms: -1x + x = 0 -8 + 5x + 3y = 22 + 0 + 8y -8 + 5x + 3y = 22 + 8y Add '8' to each side of the equation. -8 + 5x + 8 + 3y = 22 + 8 + 8y Reorder the terms: -8 + 8 + 5x + 3y = 22 + 8 + 8y Combine like terms: -8 + 8 = 0 0 + 5x + 3y = 22 + 8 + 8y 5x + 3y = 22 + 8 + 8y Combine like terms: 22 + 8 = 30 5x + 3y = 30 + 8y Add '-3y' to each side of the equation. 5x + 3y + -3y = 30 + 8y + -3y Combine like terms: 3y + -3y = 0 5x + 0 = 30 + 8y + -3y 5x = 30 + 8y + -3y Combine like terms: 8y + -3y = 5y 5x = 30 + 5y Divide each side by '5'. x = 6 + y Simplifying x = 6 + y
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