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Simplifying 3x + 6y + 2x + -2y + -1x + -7y = 0 Reorder the terms: 3x + 2x + -1x + 6y + -2y + -7y = 0 Combine like terms: 3x + 2x = 5x 5x + -1x + 6y + -2y + -7y = 0 Combine like terms: 5x + -1x = 4x 4x + 6y + -2y + -7y = 0 Combine like terms: 6y + -2y = 4y 4x + 4y + -7y = 0 Combine like terms: 4y + -7y = -3y 4x + -3y = 0 Solving 4x + -3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 4x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 4x + 0 = 0 + 3y 4x = 0 + 3y Remove the zero: 4x = 3y Divide each side by '4'. x = 0.75y Simplifying x = 0.75y
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