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Simplifying -27 + -2x = -4(x + 7) + -1 Reorder the terms: -27 + -2x = -4(7 + x) + -1 -27 + -2x = (7 * -4 + x * -4) + -1 -27 + -2x = (-28 + -4x) + -1 Reorder the terms: -27 + -2x = -28 + -1 + -4x Combine like terms: -28 + -1 = -29 -27 + -2x = -29 + -4x Solving -27 + -2x = -29 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -27 + -2x + 4x = -29 + -4x + 4x Combine like terms: -2x + 4x = 2x -27 + 2x = -29 + -4x + 4x Combine like terms: -4x + 4x = 0 -27 + 2x = -29 + 0 -27 + 2x = -29 Add '27' to each side of the equation. -27 + 27 + 2x = -29 + 27 Combine like terms: -27 + 27 = 0 0 + 2x = -29 + 27 2x = -29 + 27 Combine like terms: -29 + 27 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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