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Simplifying 5x + 6 + 4y = 3y + -7x Reorder the terms: 6 + 5x + 4y = 3y + -7x Reorder the terms: 6 + 5x + 4y = -7x + 3y Solving 6 + 5x + 4y = -7x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 6 + 5x + 7x + 4y = -7x + 7x + 3y Combine like terms: 5x + 7x = 12x 6 + 12x + 4y = -7x + 7x + 3y Combine like terms: -7x + 7x = 0 6 + 12x + 4y = 0 + 3y 6 + 12x + 4y = 3y Add '-6' to each side of the equation. 6 + 12x + -6 + 4y = -6 + 3y Reorder the terms: 6 + -6 + 12x + 4y = -6 + 3y Combine like terms: 6 + -6 = 0 0 + 12x + 4y = -6 + 3y 12x + 4y = -6 + 3y Add '-4y' to each side of the equation. 12x + 4y + -4y = -6 + 3y + -4y Combine like terms: 4y + -4y = 0 12x + 0 = -6 + 3y + -4y 12x = -6 + 3y + -4y Combine like terms: 3y + -4y = -1y 12x = -6 + -1y Divide each side by '12'. x = -0.5 + -0.08333333333y Simplifying x = -0.5 + -0.08333333333y
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