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Simplifying 15 + -1(7x + -2y) + 9(4x + -1y) = 0 15 + (7x * -1 + -2y * -1) + 9(4x + -1y) = 0 15 + (-7x + 2y) + 9(4x + -1y) = 0 15 + -7x + 2y + (4x * 9 + -1y * 9) = 0 15 + -7x + 2y + (36x + -9y) = 0 Reorder the terms: 15 + -7x + 36x + 2y + -9y = 0 Combine like terms: -7x + 36x = 29x 15 + 29x + 2y + -9y = 0 Combine like terms: 2y + -9y = -7y 15 + 29x + -7y = 0 Solving 15 + 29x + -7y = 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 + 29x + -15 + -7y = 0 + -15 Reorder the terms: 15 + -15 + 29x + -7y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 29x + -7y = 0 + -15 29x + -7y = 0 + -15 Combine like terms: 0 + -15 = -15 29x + -7y = -15 Add '7y' to each side of the equation. 29x + -7y + 7y = -15 + 7y Combine like terms: -7y + 7y = 0 29x + 0 = -15 + 7y 29x = -15 + 7y Divide each side by '29'. x = -0.5172413793 + 0.2413793103y Simplifying x = -0.5172413793 + 0.2413793103y
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