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Simplifying 4x + y = x + 4y + 30 Reorder the terms: 4x + y = 30 + x + 4y Solving 4x + y = 30 + x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4x + -1x + y = 30 + x + -1x + 4y Combine like terms: 4x + -1x = 3x 3x + y = 30 + x + -1x + 4y Combine like terms: x + -1x = 0 3x + y = 30 + 0 + 4y 3x + y = 30 + 4y Add '-1y' to each side of the equation. 3x + y + -1y = 30 + 4y + -1y Combine like terms: y + -1y = 0 3x + 0 = 30 + 4y + -1y 3x = 30 + 4y + -1y Combine like terms: 4y + -1y = 3y 3x = 30 + 3y Divide each side by '3'. x = 10 + y Simplifying x = 10 + y
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