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Simplifying 5x + 7(3x + -7) = 107 Reorder the terms: 5x + 7(-7 + 3x) = 107 5x + (-7 * 7 + 3x * 7) = 107 5x + (-49 + 21x) = 107 Reorder the terms: -49 + 5x + 21x = 107 Combine like terms: 5x + 21x = 26x -49 + 26x = 107 Solving -49 + 26x = 107 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 + 26x = 107 + 49 Combine like terms: -49 + 49 = 0 0 + 26x = 107 + 49 26x = 107 + 49 Combine like terms: 107 + 49 = 156 26x = 156 Divide each side by '26'. x = 6 Simplifying x = 6
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