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Simplifying x(8x + 9) + -1(8x2 + 8x + 4) = 4 Reorder the terms: x(9 + 8x) + -1(8x2 + 8x + 4) = 4 (9 * x + 8x * x) + -1(8x2 + 8x + 4) = 4 (9x + 8x2) + -1(8x2 + 8x + 4) = 4 Reorder the terms: 9x + 8x2 + -1(4 + 8x + 8x2) = 4 9x + 8x2 + (4 * -1 + 8x * -1 + 8x2 * -1) = 4 9x + 8x2 + (-4 + -8x + -8x2) = 4 Reorder the terms: -4 + 9x + -8x + 8x2 + -8x2 = 4 Combine like terms: 9x + -8x = 1x -4 + 1x + 8x2 + -8x2 = 4 Combine like terms: 8x2 + -8x2 = 0 -4 + 1x + 0 = 4 -4 + 1x = 4 Solving -4 + 1x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 1x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 4 + 4 1x = 4 + 4 Combine like terms: 4 + 4 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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