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Simplifying (7x + -5y + 9) + -1(6x + 8y + -6) = 0 Reorder the terms: (9 + 7x + -5y) + -1(6x + 8y + -6) = 0 Remove parenthesis around (9 + 7x + -5y) 9 + 7x + -5y + -1(6x + 8y + -6) = 0 Reorder the terms: 9 + 7x + -5y + -1(-6 + 6x + 8y) = 0 9 + 7x + -5y + (-6 * -1 + 6x * -1 + 8y * -1) = 0 9 + 7x + -5y + (6 + -6x + -8y) = 0 Reorder the terms: 9 + 6 + 7x + -6x + -5y + -8y = 0 Combine like terms: 9 + 6 = 15 15 + 7x + -6x + -5y + -8y = 0 Combine like terms: 7x + -6x = 1x 15 + 1x + -5y + -8y = 0 Combine like terms: -5y + -8y = -13y 15 + 1x + -13y = 0 Solving 15 + 1x + -13y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 1x + -15 + -13y = 0 + -15 Reorder the terms: 15 + -15 + 1x + -13y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 1x + -13y = 0 + -15 1x + -13y = 0 + -15 Combine like terms: 0 + -15 = -15 1x + -13y = -15 Add '13y' to each side of the equation. 1x + -13y + 13y = -15 + 13y Combine like terms: -13y + 13y = 0 1x + 0 = -15 + 13y 1x = -15 + 13y Divide each side by '1'. x = -15 + 13y Simplifying x = -15 + 13y
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