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Simplifying 4x + y + 4 = 12 + 7y + -1x Reorder the terms: 4 + 4x + y = 12 + 7y + -1x Reorder the terms: 4 + 4x + y = 12 + -1x + 7y Solving 4 + 4x + y = 12 + -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. 4 + 4x + x + y = 12 + -1x + x + 7y Combine like terms: 4x + x = 5x 4 + 5x + y = 12 + -1x + x + 7y Combine like terms: -1x + x = 0 4 + 5x + y = 12 + 0 + 7y 4 + 5x + y = 12 + 7y Add '-4' to each side of the equation. 4 + 5x + -4 + y = 12 + -4 + 7y Reorder the terms: 4 + -4 + 5x + y = 12 + -4 + 7y Combine like terms: 4 + -4 = 0 0 + 5x + y = 12 + -4 + 7y 5x + y = 12 + -4 + 7y Combine like terms: 12 + -4 = 8 5x + y = 8 + 7y Add '-1y' to each side of the equation. 5x + y + -1y = 8 + 7y + -1y Combine like terms: y + -1y = 0 5x + 0 = 8 + 7y + -1y 5x = 8 + 7y + -1y Combine like terms: 7y + -1y = 6y 5x = 8 + 6y Divide each side by '5'. x = 1.6 + 1.2y Simplifying x = 1.6 + 1.2y
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