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Simplifying 7x + -2x + 4y + -7y = 3x + -4y + 1 Combine like terms: 7x + -2x = 5x 5x + 4y + -7y = 3x + -4y + 1 Combine like terms: 4y + -7y = -3y 5x + -3y = 3x + -4y + 1 Reorder the terms: 5x + -3y = 1 + 3x + -4y Solving 5x + -3y = 1 + 3x + -4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5x + -3x + -3y = 1 + 3x + -3x + -4y Combine like terms: 5x + -3x = 2x 2x + -3y = 1 + 3x + -3x + -4y Combine like terms: 3x + -3x = 0 2x + -3y = 1 + 0 + -4y 2x + -3y = 1 + -4y Add '3y' to each side of the equation. 2x + -3y + 3y = 1 + -4y + 3y Combine like terms: -3y + 3y = 0 2x + 0 = 1 + -4y + 3y 2x = 1 + -4y + 3y Combine like terms: -4y + 3y = -1y 2x = 1 + -1y Divide each side by '2'. x = 0.5 + -0.5y Simplifying x = 0.5 + -0.5y
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