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Simplifying 6x + -1y = 4x + 7 Reorder the terms: 6x + -1y = 7 + 4x Solving 6x + -1y = 7 + 4x 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 + -1y = 7 + 4x + -4x Combine like terms: 6x + -4x = 2x 2x + -1y = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 2x + -1y = 7 + 0 2x + -1y = 7 Add 'y' to each side of the equation. 2x + -1y + y = 7 + y Combine like terms: -1y + y = 0 2x + 0 = 7 + y 2x = 7 + y Divide each side by '2'. x = 3.5 + 0.5y Simplifying x = 3.5 + 0.5y
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