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Simplifying 3x + 7(3x + -7) = 71 Reorder the terms: 3x + 7(-7 + 3x) = 71 3x + (-7 * 7 + 3x * 7) = 71 3x + (-49 + 21x) = 71 Reorder the terms: -49 + 3x + 21x = 71 Combine like terms: 3x + 21x = 24x -49 + 24x = 71 Solving -49 + 24x = 71 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 + 24x = 71 + 49 Combine like terms: -49 + 49 = 0 0 + 24x = 71 + 49 24x = 71 + 49 Combine like terms: 71 + 49 = 120 24x = 120 Divide each side by '24'. x = 5 Simplifying x = 5
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