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Simplifying 5x + 7(x + -7) = 23 Reorder the terms: 5x + 7(-7 + x) = 23 5x + (-7 * 7 + x * 7) = 23 5x + (-49 + 7x) = 23 Reorder the terms: -49 + 5x + 7x = 23 Combine like terms: 5x + 7x = 12x -49 + 12x = 23 Solving -49 + 12x = 23 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 + 12x = 23 + 49 Combine like terms: -49 + 49 = 0 0 + 12x = 23 + 49 12x = 23 + 49 Combine like terms: 23 + 49 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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