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Simplifying 5(5x + 9) + (x + 7) = 13 Reorder the terms: 5(9 + 5x) + (x + 7) = 13 (9 * 5 + 5x * 5) + (x + 7) = 13 (45 + 25x) + (x + 7) = 13 Reorder the terms: 45 + 25x + (7 + x) = 13 Remove parenthesis around (7 + x) 45 + 25x + 7 + x = 13 Reorder the terms: 45 + 7 + 25x + x = 13 Combine like terms: 45 + 7 = 52 52 + 25x + x = 13 Combine like terms: 25x + x = 26x 52 + 26x = 13 Solving 52 + 26x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 26x = 13 + -52 Combine like terms: 52 + -52 = 0 0 + 26x = 13 + -52 26x = 13 + -52 Combine like terms: 13 + -52 = -39 26x = -39 Divide each side by '26'. x = -1.5 Simplifying x = -1.5
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