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Simplifying 5x + 7(7 + 3x) = 4(9 + -8) + 7 5x + (7 * 7 + 3x * 7) = 4(9 + -8) + 7 5x + (49 + 21x) = 4(9 + -8) + 7 Reorder the terms: 49 + 5x + 21x = 4(9 + -8) + 7 Combine like terms: 5x + 21x = 26x 49 + 26x = 4(9 + -8) + 7 Combine like terms: 9 + -8 = 1 49 + 26x = 4(1) + 7 Multiply 4 * 1 49 + 26x = 4 + 7 Combine like terms: 4 + 7 = 11 49 + 26x = 11 Solving 49 + 26x = 11 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 = 11 + -49 Combine like terms: 49 + -49 = 0 0 + 26x = 11 + -49 26x = 11 + -49 Combine like terms: 11 + -49 = -38 26x = -38 Divide each side by '26'. x = -1.461538462 Simplifying x = -1.461538462
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