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Simplifying -27 + -7x = 3(5 + -7x) -27 + -7x = (5 * 3 + -7x * 3) -27 + -7x = (15 + -21x) Solving -27 + -7x = 15 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -27 + -7x + 21x = 15 + -21x + 21x Combine like terms: -7x + 21x = 14x -27 + 14x = 15 + -21x + 21x Combine like terms: -21x + 21x = 0 -27 + 14x = 15 + 0 -27 + 14x = 15 Add '27' to each side of the equation. -27 + 27 + 14x = 15 + 27 Combine like terms: -27 + 27 = 0 0 + 14x = 15 + 27 14x = 15 + 27 Combine like terms: 15 + 27 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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