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Simplifying (5x + -6y + 8) + -1(2x + -3y + 5) = 0 Reorder the terms: (8 + 5x + -6y) + -1(2x + -3y + 5) = 0 Remove parenthesis around (8 + 5x + -6y) 8 + 5x + -6y + -1(2x + -3y + 5) = 0 Reorder the terms: 8 + 5x + -6y + -1(5 + 2x + -3y) = 0 8 + 5x + -6y + (5 * -1 + 2x * -1 + -3y * -1) = 0 8 + 5x + -6y + (-5 + -2x + 3y) = 0 Reorder the terms: 8 + -5 + 5x + -2x + -6y + 3y = 0 Combine like terms: 8 + -5 = 3 3 + 5x + -2x + -6y + 3y = 0 Combine like terms: 5x + -2x = 3x 3 + 3x + -6y + 3y = 0 Combine like terms: -6y + 3y = -3y 3 + 3x + -3y = 0 Solving 3 + 3x + -3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 3x + -3 + -3y = 0 + -3 Reorder the terms: 3 + -3 + 3x + -3y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3x + -3y = 0 + -3 3x + -3y = 0 + -3 Combine like terms: 0 + -3 = -3 3x + -3y = -3 Add '3y' to each side of the equation. 3x + -3y + 3y = -3 + 3y Combine like terms: -3y + 3y = 0 3x + 0 = -3 + 3y 3x = -3 + 3y Divide each side by '3'. x = -1 + y Simplifying x = -1 + y
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