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Simplifying (8 + -9x) * x = -40 + (6 + -3x)(6 + 3x) Reorder the terms for easier multiplication: x(8 + -9x) = -40 + (6 + -3x)(6 + 3x) (8 * x + -9x * x) = -40 + (6 + -3x)(6 + 3x) (8x + -9x2) = -40 + (6 + -3x)(6 + 3x) Multiply (6 + -3x) * (6 + 3x) 8x + -9x2 = -40 + (6(6 + 3x) + -3x * (6 + 3x)) 8x + -9x2 = -40 + ((6 * 6 + 3x * 6) + -3x * (6 + 3x)) 8x + -9x2 = -40 + ((36 + 18x) + -3x * (6 + 3x)) 8x + -9x2 = -40 + (36 + 18x + (6 * -3x + 3x * -3x)) 8x + -9x2 = -40 + (36 + 18x + (-18x + -9x2)) Combine like terms: 18x + -18x = 0 8x + -9x2 = -40 + (36 + 0 + -9x2) 8x + -9x2 = -40 + (36 + -9x2) Combine like terms: -40 + 36 = -4 8x + -9x2 = -4 + -9x2 Add '9x2' to each side of the equation. 8x + -9x2 + 9x2 = -4 + -9x2 + 9x2 Combine like terms: -9x2 + 9x2 = 0 8x + 0 = -4 + -9x2 + 9x2 8x = -4 + -9x2 + 9x2 Combine like terms: -9x2 + 9x2 = 0 8x = -4 + 0 8x = -4 Solving 8x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '8'. x = -0.5 Simplifying x = -0.5
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