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Simplifying 1 + 9(x + -1) = 8 + -9(x + -2) Reorder the terms: 1 + 9(-1 + x) = 8 + -9(x + -2) 1 + (-1 * 9 + x * 9) = 8 + -9(x + -2) 1 + (-9 + 9x) = 8 + -9(x + -2) Combine like terms: 1 + -9 = -8 -8 + 9x = 8 + -9(x + -2) Reorder the terms: -8 + 9x = 8 + -9(-2 + x) -8 + 9x = 8 + (-2 * -9 + x * -9) -8 + 9x = 8 + (18 + -9x) Combine like terms: 8 + 18 = 26 -8 + 9x = 26 + -9x Solving -8 + 9x = 26 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -8 + 9x + 9x = 26 + -9x + 9x Combine like terms: 9x + 9x = 18x -8 + 18x = 26 + -9x + 9x Combine like terms: -9x + 9x = 0 -8 + 18x = 26 + 0 -8 + 18x = 26 Add '8' to each side of the equation. -8 + 8 + 18x = 26 + 8 Combine like terms: -8 + 8 = 0 0 + 18x = 26 + 8 18x = 26 + 8 Combine like terms: 26 + 8 = 34 18x = 34 Divide each side by '18'. x = 1.888888889 Simplifying x = 1.888888889
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