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Simplifying 2x + 3y + -3x + -9y + 2 = 0 Reorder the terms: 2 + 2x + -3x + 3y + -9y = 0 Combine like terms: 2x + -3x = -1x 2 + -1x + 3y + -9y = 0 Combine like terms: 3y + -9y = -6y 2 + -1x + -6y = 0 Solving 2 + -1x + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -1x + -2 + -6y = 0 + -2 Reorder the terms: 2 + -2 + -1x + -6y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x + -6y = 0 + -2 -1x + -6y = 0 + -2 Combine like terms: 0 + -2 = -2 -1x + -6y = -2 Add '6y' to each side of the equation. -1x + -6y + 6y = -2 + 6y Combine like terms: -6y + 6y = 0 -1x + 0 = -2 + 6y -1x = -2 + 6y Divide each side by '-1'. x = 2 + -6y Simplifying x = 2 + -6y
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