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Simplifying 4x + 2y + -7x + -7y + 6 = 0 Reorder the terms: 6 + 4x + -7x + 2y + -7y = 0 Combine like terms: 4x + -7x = -3x 6 + -3x + 2y + -7y = 0 Combine like terms: 2y + -7y = -5y 6 + -3x + -5y = 0 Solving 6 + -3x + -5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -3x + -6 + -5y = 0 + -6 Reorder the terms: 6 + -6 + -3x + -5y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -3x + -5y = 0 + -6 -3x + -5y = 0 + -6 Combine like terms: 0 + -6 = -6 -3x + -5y = -6 Add '5y' to each side of the equation. -3x + -5y + 5y = -6 + 5y Combine like terms: -5y + 5y = 0 -3x + 0 = -6 + 5y -3x = -6 + 5y Divide each side by '-3'. x = 2 + -1.666666667y Simplifying x = 2 + -1.666666667y
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