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Simplifying 3x + 7(2x + -7) = 138 Reorder the terms: 3x + 7(-7 + 2x) = 138 3x + (-7 * 7 + 2x * 7) = 138 3x + (-49 + 14x) = 138 Reorder the terms: -49 + 3x + 14x = 138 Combine like terms: 3x + 14x = 17x -49 + 17x = 138 Solving -49 + 17x = 138 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 + 17x = 138 + 49 Combine like terms: -49 + 49 = 0 0 + 17x = 138 + 49 17x = 138 + 49 Combine like terms: 138 + 49 = 187 17x = 187 Divide each side by '17'. x = 11 Simplifying x = 11
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