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Simplifying -9x + -27 = -7(x + 1) Reorder the terms: -27 + -9x = -7(x + 1) Reorder the terms: -27 + -9x = -7(1 + x) -27 + -9x = (1 * -7 + x * -7) -27 + -9x = (-7 + -7x) Solving -27 + -9x = -7 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -27 + -9x + 7x = -7 + -7x + 7x Combine like terms: -9x + 7x = -2x -27 + -2x = -7 + -7x + 7x Combine like terms: -7x + 7x = 0 -27 + -2x = -7 + 0 -27 + -2x = -7 Add '27' to each side of the equation. -27 + 27 + -2x = -7 + 27 Combine like terms: -27 + 27 = 0 0 + -2x = -7 + 27 -2x = -7 + 27 Combine like terms: -7 + 27 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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