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Simplifying (5x + -6y) + -1(2x + 5y + -2) = 0 Remove parenthesis around (5x + -6y) 5x + -6y + -1(2x + 5y + -2) = 0 Reorder the terms: 5x + -6y + -1(-2 + 2x + 5y) = 0 5x + -6y + (-2 * -1 + 2x * -1 + 5y * -1) = 0 5x + -6y + (2 + -2x + -5y) = 0 Reorder the terms: 2 + 5x + -2x + -6y + -5y = 0 Combine like terms: 5x + -2x = 3x 2 + 3x + -6y + -5y = 0 Combine like terms: -6y + -5y = -11y 2 + 3x + -11y = 0 Solving 2 + 3x + -11y = 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 + 3x + -2 + -11y = 0 + -2 Reorder the terms: 2 + -2 + 3x + -11y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x + -11y = 0 + -2 3x + -11y = 0 + -2 Combine like terms: 0 + -2 = -2 3x + -11y = -2 Add '11y' to each side of the equation. 3x + -11y + 11y = -2 + 11y Combine like terms: -11y + 11y = 0 3x + 0 = -2 + 11y 3x = -2 + 11y Divide each side by '3'. x = -0.6666666667 + 3.666666667y Simplifying x = -0.6666666667 + 3.666666667y
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