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Simplifying 6x + y = 4x + -4y + 19 Reorder the terms: 6x + y = 19 + 4x + -4y Solving 6x + y = 19 + 4x + -4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6x + -4x + y = 19 + 4x + -4x + -4y Combine like terms: 6x + -4x = 2x 2x + y = 19 + 4x + -4x + -4y Combine like terms: 4x + -4x = 0 2x + y = 19 + 0 + -4y 2x + y = 19 + -4y Add '-1y' to each side of the equation. 2x + y + -1y = 19 + -4y + -1y Combine like terms: y + -1y = 0 2x + 0 = 19 + -4y + -1y 2x = 19 + -4y + -1y Combine like terms: -4y + -1y = -5y 2x = 19 + -5y Divide each side by '2'. x = 9.5 + -2.5y Simplifying x = 9.5 + -2.5y
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