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Simplifying 9(x + -4) + -9(1 + -1x) = 1 Reorder the terms: 9(-4 + x) + -9(1 + -1x) = 1 (-4 * 9 + x * 9) + -9(1 + -1x) = 1 (-36 + 9x) + -9(1 + -1x) = 1 -36 + 9x + (1 * -9 + -1x * -9) = 1 -36 + 9x + (-9 + 9x) = 1 Reorder the terms: -36 + -9 + 9x + 9x = 1 Combine like terms: -36 + -9 = -45 -45 + 9x + 9x = 1 Combine like terms: 9x + 9x = 18x -45 + 18x = 1 Solving -45 + 18x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 18x = 1 + 45 Combine like terms: -45 + 45 = 0 0 + 18x = 1 + 45 18x = 1 + 45 Combine like terms: 1 + 45 = 46 18x = 46 Divide each side by '18'. x = 2.555555556 Simplifying x = 2.555555556
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