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Simplifying -9(5 + -9x) + -8(x + 7) = 0 (5 * -9 + -9x * -9) + -8(x + 7) = 0 (-45 + 81x) + -8(x + 7) = 0 Reorder the terms: -45 + 81x + -8(7 + x) = 0 -45 + 81x + (7 * -8 + x * -8) = 0 -45 + 81x + (-56 + -8x) = 0 Reorder the terms: -45 + -56 + 81x + -8x = 0 Combine like terms: -45 + -56 = -101 -101 + 81x + -8x = 0 Combine like terms: 81x + -8x = 73x -101 + 73x = 0 Solving -101 + 73x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '101' to each side of the equation. -101 + 101 + 73x = 0 + 101 Combine like terms: -101 + 101 = 0 0 + 73x = 0 + 101 73x = 0 + 101 Combine like terms: 0 + 101 = 101 73x = 101 Divide each side by '73'. x = 1.383561644 Simplifying x = 1.383561644
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