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Simplifying 9(x + -1) + -1(8x + 6) = 5 Reorder the terms: 9(-1 + x) + -1(8x + 6) = 5 (-1 * 9 + x * 9) + -1(8x + 6) = 5 (-9 + 9x) + -1(8x + 6) = 5 Reorder the terms: -9 + 9x + -1(6 + 8x) = 5 -9 + 9x + (6 * -1 + 8x * -1) = 5 -9 + 9x + (-6 + -8x) = 5 Reorder the terms: -9 + -6 + 9x + -8x = 5 Combine like terms: -9 + -6 = -15 -15 + 9x + -8x = 5 Combine like terms: 9x + -8x = 1x -15 + 1x = 5 Solving -15 + 1x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1x = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = 5 + 15 1x = 5 + 15 Combine like terms: 5 + 15 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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