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Simplifying -7x + -27 = -5(3x + -1) Reorder the terms: -27 + -7x = -5(3x + -1) Reorder the terms: -27 + -7x = -5(-1 + 3x) -27 + -7x = (-1 * -5 + 3x * -5) -27 + -7x = (5 + -15x) Solving -27 + -7x = 5 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -27 + -7x + 15x = 5 + -15x + 15x Combine like terms: -7x + 15x = 8x -27 + 8x = 5 + -15x + 15x Combine like terms: -15x + 15x = 0 -27 + 8x = 5 + 0 -27 + 8x = 5 Add '27' to each side of the equation. -27 + 27 + 8x = 5 + 27 Combine like terms: -27 + 27 = 0 0 + 8x = 5 + 27 8x = 5 + 27 Combine like terms: 5 + 27 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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