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Simplifying (3x + 5y) + -1(2x + -9y) = 13 + 6 Remove parenthesis around (3x + 5y) 3x + 5y + -1(2x + -9y) = 13 + 6 3x + 5y + (2x * -1 + -9y * -1) = 13 + 6 3x + 5y + (-2x + 9y) = 13 + 6 Reorder the terms: 3x + -2x + 5y + 9y = 13 + 6 Combine like terms: 3x + -2x = 1x 1x + 5y + 9y = 13 + 6 Combine like terms: 5y + 9y = 14y 1x + 14y = 13 + 6 Combine like terms: 13 + 6 = 19 1x + 14y = 19 Solving 1x + 14y = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14y' to each side of the equation. 1x + 14y + -14y = 19 + -14y Combine like terms: 14y + -14y = 0 1x + 0 = 19 + -14y 1x = 19 + -14y Divide each side by '1'. x = 19 + -14y Simplifying x = 19 + -14y
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