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Simplifying (9x + 4y) + (7x + -2y) + -1(8x + -1y) = 0 Remove parenthesis around (9x + 4y) 9x + 4y + (7x + -2y) + -1(8x + -1y) = 0 Remove parenthesis around (7x + -2y) 9x + 4y + 7x + -2y + -1(8x + -1y) = 0 9x + 4y + 7x + -2y + (8x * -1 + -1y * -1) = 0 9x + 4y + 7x + -2y + (-8x + 1y) = 0 Reorder the terms: 9x + 7x + -8x + 4y + -2y + 1y = 0 Combine like terms: 9x + 7x = 16x 16x + -8x + 4y + -2y + 1y = 0 Combine like terms: 16x + -8x = 8x 8x + 4y + -2y + 1y = 0 Combine like terms: 4y + -2y = 2y 8x + 2y + 1y = 0 Combine like terms: 2y + 1y = 3y 8x + 3y = 0 Solving 8x + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 8x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 8x + 0 = 0 + -3y 8x = 0 + -3y Remove the zero: 8x = -3y Divide each side by '8'. x = -0.375y Simplifying x = -0.375y
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