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Simplifying 7x + -2y = 5x + -1y Solving 7x + -2y = 5x + -1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7x + -5x + -2y = 5x + -5x + -1y Combine like terms: 7x + -5x = 2x 2x + -2y = 5x + -5x + -1y Combine like terms: 5x + -5x = 0 2x + -2y = 0 + -1y 2x + -2y = -1y Add '2y' to each side of the equation. 2x + -2y + 2y = -1y + 2y Combine like terms: -2y + 2y = 0 2x + 0 = -1y + 2y 2x = -1y + 2y Combine like terms: -1y + 2y = 1y 2x = 1y Divide each side by '2'. x = 0.5y Simplifying x = 0.5y
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