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Simplifying 5x + 2y + 3 + -2x + -1y + -2 = 0 Reorder the terms: 3 + -2 + 5x + -2x + 2y + -1y = 0 Combine like terms: 3 + -2 = 1 1 + 5x + -2x + 2y + -1y = 0 Combine like terms: 5x + -2x = 3x 1 + 3x + 2y + -1y = 0 Combine like terms: 2y + -1y = 1y 1 + 3x + 1y = 0 Solving 1 + 3x + 1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3x + -1 + 1y = 0 + -1 Reorder the terms: 1 + -1 + 3x + 1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x + 1y = 0 + -1 3x + 1y = 0 + -1 Combine like terms: 0 + -1 = -1 3x + 1y = -1 Add '-1y' to each side of the equation. 3x + 1y + -1y = -1 + -1y Combine like terms: 1y + -1y = 0 3x + 0 = -1 + -1y 3x = -1 + -1y Divide each side by '3'. x = -0.3333333333 + -0.3333333333y Simplifying x = -0.3333333333 + -0.3333333333y
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