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Simplifying -27 + 3x = -2(1 + -7x) + -3 -27 + 3x = (1 * -2 + -7x * -2) + -3 -27 + 3x = (-2 + 14x) + -3 Reorder the terms: -27 + 3x = -2 + -3 + 14x Combine like terms: -2 + -3 = -5 -27 + 3x = -5 + 14x Solving -27 + 3x = -5 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -27 + 3x + -14x = -5 + 14x + -14x Combine like terms: 3x + -14x = -11x -27 + -11x = -5 + 14x + -14x Combine like terms: 14x + -14x = 0 -27 + -11x = -5 + 0 -27 + -11x = -5 Add '27' to each side of the equation. -27 + 27 + -11x = -5 + 27 Combine like terms: -27 + 27 = 0 0 + -11x = -5 + 27 -11x = -5 + 27 Combine like terms: -5 + 27 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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