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Simplifying 5x + -3x + 12y + (-5y) = 0 Combine like terms: 5x + -3x = 2x 2x + 12y + (-5y) = 0 Combine like terms: 12y + (-5y) = 7y 2x + 7y = 0 Solving 2x + 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. 2x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 2x + 0 = 0 + -7y 2x = 0 + -7y Remove the zero: 2x = -7y Divide each side by '2'. x = -3.5y Simplifying x = -3.5y
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