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Simplifying 3x + -7(-1x + -7) = -1 Reorder the terms: 3x + -7(-7 + -1x) = -1 3x + (-7 * -7 + -1x * -7) = -1 3x + (49 + 7x) = -1 Reorder the terms: 49 + 3x + 7x = -1 Combine like terms: 3x + 7x = 10x 49 + 10x = -1 Solving 49 + 10x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 10x = -1 + -49 Combine like terms: 49 + -49 = 0 0 + 10x = -1 + -49 10x = -1 + -49 Combine like terms: -1 + -49 = -50 10x = -50 Divide each side by '10'. x = -5 Simplifying x = -5
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