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