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Simplifying [15 + -8(x + -5y)] + 9(2x + 9) = 0 [15 + (x * -8 + -5y * -8)] + 9(2x + 9) = 0 [15 + (-8x + 40y)] + 9(2x + 9) = 0 Remove brackets around [15 + -8x + 40y] 15 + -8x + 40y + 9(2x + 9) = 0 Reorder the terms: 15 + -8x + 40y + 9(9 + 2x) = 0 15 + -8x + 40y + (9 * 9 + 2x * 9) = 0 15 + -8x + 40y + (81 + 18x) = 0 Reorder the terms: 15 + 81 + -8x + 18x + 40y = 0 Combine like terms: 15 + 81 = 96 96 + -8x + 18x + 40y = 0 Combine like terms: -8x + 18x = 10x 96 + 10x + 40y = 0 Solving 96 + 10x + 40y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + 10x + -96 + 40y = 0 + -96 Reorder the terms: 96 + -96 + 10x + 40y = 0 + -96 Combine like terms: 96 + -96 = 0 0 + 10x + 40y = 0 + -96 10x + 40y = 0 + -96 Combine like terms: 0 + -96 = -96 10x + 40y = -96 Add '-40y' to each side of the equation. 10x + 40y + -40y = -96 + -40y Combine like terms: 40y + -40y = 0 10x + 0 = -96 + -40y 10x = -96 + -40y Divide each side by '10'. x = -9.6 + -4y Simplifying x = -9.6 + -4y
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