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Simplifying (15 + -5(x + -3y)) + 9(2x + y) = 0 (15 + (x * -5 + -3y * -5)) + 9(2x + y) = 0 (15 + (-5x + 15y)) + 9(2x + y) = 0 Remove parenthesis around (15 + -5x + 15y) 15 + -5x + 15y + 9(2x + y) = 0 15 + -5x + 15y + (2x * 9 + y * 9) = 0 15 + -5x + 15y + (18x + 9y) = 0 Reorder the terms: 15 + -5x + 18x + 15y + 9y = 0 Combine like terms: -5x + 18x = 13x 15 + 13x + 15y + 9y = 0 Combine like terms: 15y + 9y = 24y 15 + 13x + 24y = 0 Solving 15 + 13x + 24y = 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 + 13x + -15 + 24y = 0 + -15 Reorder the terms: 15 + -15 + 13x + 24y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 13x + 24y = 0 + -15 13x + 24y = 0 + -15 Combine like terms: 0 + -15 = -15 13x + 24y = -15 Add '-24y' to each side of the equation. 13x + 24y + -24y = -15 + -24y Combine like terms: 24y + -24y = 0 13x + 0 = -15 + -24y 13x = -15 + -24y Divide each side by '13'. x = -1.153846154 + -1.846153846y Simplifying x = -1.153846154 + -1.846153846y
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