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Simplifying -27 + 2x = -1 + -8(-3x + -5) Reorder the terms: -27 + 2x = -1 + -8(-5 + -3x) -27 + 2x = -1 + (-5 * -8 + -3x * -8) -27 + 2x = -1 + (40 + 24x) Combine like terms: -1 + 40 = 39 -27 + 2x = 39 + 24x Solving -27 + 2x = 39 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -27 + 2x + -24x = 39 + 24x + -24x Combine like terms: 2x + -24x = -22x -27 + -22x = 39 + 24x + -24x Combine like terms: 24x + -24x = 0 -27 + -22x = 39 + 0 -27 + -22x = 39 Add '27' to each side of the equation. -27 + 27 + -22x = 39 + 27 Combine like terms: -27 + 27 = 0 0 + -22x = 39 + 27 -22x = 39 + 27 Combine like terms: 39 + 27 = 66 -22x = 66 Divide each side by '-22'. x = -3 Simplifying x = -3
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