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Simplifying -4y + 7x = -5(y + -1x) + 3 Reorder the terms: 7x + -4y = -5(y + -1x) + 3 Reorder the terms: 7x + -4y = -5(-1x + y) + 3 7x + -4y = (-1x * -5 + y * -5) + 3 7x + -4y = (5x + -5y) + 3 Reorder the terms: 7x + -4y = 3 + 5x + -5y Solving 7x + -4y = 3 + 5x + -5y 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 + -4y = 3 + 5x + -5x + -5y Combine like terms: 7x + -5x = 2x 2x + -4y = 3 + 5x + -5x + -5y Combine like terms: 5x + -5x = 0 2x + -4y = 3 + 0 + -5y 2x + -4y = 3 + -5y Add '4y' to each side of the equation. 2x + -4y + 4y = 3 + -5y + 4y Combine like terms: -4y + 4y = 0 2x + 0 = 3 + -5y + 4y 2x = 3 + -5y + 4y Combine like terms: -5y + 4y = -1y 2x = 3 + -1y Divide each side by '2'. x = 1.5 + -0.5y Simplifying x = 1.5 + -0.5y
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