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Simplifying (6x + -2y + -5) + -1(-5 + 9y + -8x) = 0 Reorder the terms: (-5 + 6x + -2y) + -1(-5 + 9y + -8x) = 0 Remove parenthesis around (-5 + 6x + -2y) -5 + 6x + -2y + -1(-5 + 9y + -8x) = 0 Reorder the terms: -5 + 6x + -2y + -1(-5 + -8x + 9y) = 0 -5 + 6x + -2y + (-5 * -1 + -8x * -1 + 9y * -1) = 0 -5 + 6x + -2y + (5 + 8x + -9y) = 0 Reorder the terms: -5 + 5 + 6x + 8x + -2y + -9y = 0 Combine like terms: -5 + 5 = 0 0 + 6x + 8x + -2y + -9y = 0 6x + 8x + -2y + -9y = 0 Combine like terms: 6x + 8x = 14x 14x + -2y + -9y = 0 Combine like terms: -2y + -9y = -11y 14x + -11y = 0 Solving 14x + -11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11y' to each side of the equation. 14x + -11y + 11y = 0 + 11y Combine like terms: -11y + 11y = 0 14x + 0 = 0 + 11y 14x = 0 + 11y Remove the zero: 14x = 11y Divide each side by '14'. x = 0.7857142857y Simplifying x = 0.7857142857y
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