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Simplifying [15 + -7(x + -5y)] + 10(7x + y) = 0 [15 + (x * -7 + -5y * -7)] + 10(7x + y) = 0 [15 + (-7x + 35y)] + 10(7x + y) = 0 Remove brackets around [15 + -7x + 35y] 15 + -7x + 35y + 10(7x + y) = 0 15 + -7x + 35y + (7x * 10 + y * 10) = 0 15 + -7x + 35y + (70x + 10y) = 0 Reorder the terms: 15 + -7x + 70x + 35y + 10y = 0 Combine like terms: -7x + 70x = 63x 15 + 63x + 35y + 10y = 0 Combine like terms: 35y + 10y = 45y 15 + 63x + 45y = 0 Solving 15 + 63x + 45y = 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 + 63x + -15 + 45y = 0 + -15 Reorder the terms: 15 + -15 + 63x + 45y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 63x + 45y = 0 + -15 63x + 45y = 0 + -15 Combine like terms: 0 + -15 = -15 63x + 45y = -15 Add '-45y' to each side of the equation. 63x + 45y + -45y = -15 + -45y Combine like terms: 45y + -45y = 0 63x + 0 = -15 + -45y 63x = -15 + -45y Divide each side by '63'. x = -0.2380952381 + -0.7142857143y Simplifying x = -0.2380952381 + -0.7142857143y
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