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Simplifying 5x + 6y + -3(x + y) + 2 = 0 5x + 6y + (x * -3 + y * -3) + 2 = 0 5x + 6y + (-3x + -3y) + 2 = 0 Reorder the terms: 2 + 5x + -3x + 6y + -3y = 0 Combine like terms: 5x + -3x = 2x 2 + 2x + 6y + -3y = 0 Combine like terms: 6y + -3y = 3y 2 + 2x + 3y = 0 Solving 2 + 2x + 3y = 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 + 2x + -2 + 3y = 0 + -2 Reorder the terms: 2 + -2 + 2x + 3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2x + 3y = 0 + -2 2x + 3y = 0 + -2 Combine like terms: 0 + -2 = -2 2x + 3y = -2 Add '-3y' to each side of the equation. 2x + 3y + -3y = -2 + -3y Combine like terms: 3y + -3y = 0 2x + 0 = -2 + -3y 2x = -2 + -3y Divide each side by '2'. x = -1 + -1.5y Simplifying x = -1 + -1.5y
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