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Simplifying (8x2 + 5x + -1) + -1(8x2 + 9) = 30 Reorder the terms: (-1 + 5x + 8x2) + -1(8x2 + 9) = 30 Remove parenthesis around (-1 + 5x + 8x2) -1 + 5x + 8x2 + -1(8x2 + 9) = 30 Reorder the terms: -1 + 5x + 8x2 + -1(9 + 8x2) = 30 -1 + 5x + 8x2 + (9 * -1 + 8x2 * -1) = 30 -1 + 5x + 8x2 + (-9 + -8x2) = 30 Reorder the terms: -1 + -9 + 5x + 8x2 + -8x2 = 30 Combine like terms: -1 + -9 = -10 -10 + 5x + 8x2 + -8x2 = 30 Combine like terms: 8x2 + -8x2 = 0 -10 + 5x + 0 = 30 -10 + 5x = 30 Solving -10 + 5x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 5x = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 30 + 10 5x = 30 + 10 Combine like terms: 30 + 10 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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