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Simplifying 2x + 3y + 5x + -3y + -1(-4x + 7y) = 0 2x + 3y + 5x + -3y + (-4x * -1 + 7y * -1) = 0 2x + 3y + 5x + -3y + (4x + -7y) = 0 Reorder the terms: 2x + 5x + 4x + 3y + -3y + -7y = 0 Combine like terms: 2x + 5x = 7x 7x + 4x + 3y + -3y + -7y = 0 Combine like terms: 7x + 4x = 11x 11x + 3y + -3y + -7y = 0 Combine like terms: 3y + -3y = 0 11x + 0 + -7y = 0 11x + -7y = 0 Solving 11x + -7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 11x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 11x + 0 = 0 + 7y 11x = 0 + 7y Remove the zero: 11x = 7y Divide each side by '11'. x = 0.6363636364y Simplifying x = 0.6363636364y
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