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Simplifying 3(9y + 5x) + 2(7y + 8x) + 6 = 0 Reorder the terms: 3(5x + 9y) + 2(7y + 8x) + 6 = 0 (5x * 3 + 9y * 3) + 2(7y + 8x) + 6 = 0 (15x + 27y) + 2(7y + 8x) + 6 = 0 Reorder the terms: 15x + 27y + 2(8x + 7y) + 6 = 0 15x + 27y + (8x * 2 + 7y * 2) + 6 = 0 15x + 27y + (16x + 14y) + 6 = 0 Reorder the terms: 6 + 15x + 16x + 27y + 14y = 0 Combine like terms: 15x + 16x = 31x 6 + 31x + 27y + 14y = 0 Combine like terms: 27y + 14y = 41y 6 + 31x + 41y = 0 Solving 6 + 31x + 41y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 31x + -6 + 41y = 0 + -6 Reorder the terms: 6 + -6 + 31x + 41y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 31x + 41y = 0 + -6 31x + 41y = 0 + -6 Combine like terms: 0 + -6 = -6 31x + 41y = -6 Add '-41y' to each side of the equation. 31x + 41y + -41y = -6 + -41y Combine like terms: 41y + -41y = 0 31x + 0 = -6 + -41y 31x = -6 + -41y Divide each side by '31'. x = -0.1935483871 + -1.322580645y Simplifying x = -0.1935483871 + -1.322580645y
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