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Simplifying 7x + -27 = 9(x + -1) Reorder the terms: -27 + 7x = 9(x + -1) Reorder the terms: -27 + 7x = 9(-1 + x) -27 + 7x = (-1 * 9 + x * 9) -27 + 7x = (-9 + 9x) Solving -27 + 7x = -9 + 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 + 7x + -9x = -9 + 9x + -9x Combine like terms: 7x + -9x = -2x -27 + -2x = -9 + 9x + -9x Combine like terms: 9x + -9x = 0 -27 + -2x = -9 + 0 -27 + -2x = -9 Add '27' to each side of the equation. -27 + 27 + -2x = -9 + 27 Combine like terms: -27 + 27 = 0 0 + -2x = -9 + 27 -2x = -9 + 27 Combine like terms: -9 + 27 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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