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Simplifying 4x + y + 6 = -14 + 7y + -1x Reorder the terms: 6 + 4x + y = -14 + 7y + -1x Reorder the terms: 6 + 4x + y = -14 + -1x + 7y Solving 6 + 4x + y = -14 + -1x + 7y 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. 6 + 4x + x + y = -14 + -1x + x + 7y Combine like terms: 4x + x = 5x 6 + 5x + y = -14 + -1x + x + 7y Combine like terms: -1x + x = 0 6 + 5x + y = -14 + 0 + 7y 6 + 5x + y = -14 + 7y Add '-6' to each side of the equation. 6 + 5x + -6 + y = -14 + -6 + 7y Reorder the terms: 6 + -6 + 5x + y = -14 + -6 + 7y Combine like terms: 6 + -6 = 0 0 + 5x + y = -14 + -6 + 7y 5x + y = -14 + -6 + 7y Combine like terms: -14 + -6 = -20 5x + y = -20 + 7y Add '-1y' to each side of the equation. 5x + y + -1y = -20 + 7y + -1y Combine like terms: y + -1y = 0 5x + 0 = -20 + 7y + -1y 5x = -20 + 7y + -1y Combine like terms: 7y + -1y = 6y 5x = -20 + 6y Divide each side by '5'. x = -4 + 1.2y Simplifying x = -4 + 1.2y
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