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Simplifying -7x + -27 = 8 + -1(2x + -10) Reorder the terms: -27 + -7x = 8 + -1(2x + -10) Reorder the terms: -27 + -7x = 8 + -1(-10 + 2x) -27 + -7x = 8 + (-10 * -1 + 2x * -1) -27 + -7x = 8 + (10 + -2x) Combine like terms: 8 + 10 = 18 -27 + -7x = 18 + -2x Solving -27 + -7x = 18 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -27 + -7x + 2x = 18 + -2x + 2x Combine like terms: -7x + 2x = -5x -27 + -5x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 -27 + -5x = 18 + 0 -27 + -5x = 18 Add '27' to each side of the equation. -27 + 27 + -5x = 18 + 27 Combine like terms: -27 + 27 = 0 0 + -5x = 18 + 27 -5x = 18 + 27 Combine like terms: 18 + 27 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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