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Simplifying 9x + -27 = 9(11 + -1x) Reorder the terms: -27 + 9x = 9(11 + -1x) -27 + 9x = (11 * 9 + -1x * 9) -27 + 9x = (99 + -9x) Solving -27 + 9x = 99 + -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. -27 + 9x + 9x = 99 + -9x + 9x Combine like terms: 9x + 9x = 18x -27 + 18x = 99 + -9x + 9x Combine like terms: -9x + 9x = 0 -27 + 18x = 99 + 0 -27 + 18x = 99 Add '27' to each side of the equation. -27 + 27 + 18x = 99 + 27 Combine like terms: -27 + 27 = 0 0 + 18x = 99 + 27 18x = 99 + 27 Combine like terms: 99 + 27 = 126 18x = 126 Divide each side by '18'. x = 7 Simplifying x = 7
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