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Simplifying -2x + -27 = -5(x + 9) Reorder the terms: -27 + -2x = -5(x + 9) Reorder the terms: -27 + -2x = -5(9 + x) -27 + -2x = (9 * -5 + x * -5) -27 + -2x = (-45 + -5x) Solving -27 + -2x = -45 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -27 + -2x + 5x = -45 + -5x + 5x Combine like terms: -2x + 5x = 3x -27 + 3x = -45 + -5x + 5x Combine like terms: -5x + 5x = 0 -27 + 3x = -45 + 0 -27 + 3x = -45 Add '27' to each side of the equation. -27 + 27 + 3x = -45 + 27 Combine like terms: -27 + 27 = 0 0 + 3x = -45 + 27 3x = -45 + 27 Combine like terms: -45 + 27 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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