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Simplifying 7x + 2(5x + -7) = 122 Reorder the terms: 7x + 2(-7 + 5x) = 122 7x + (-7 * 2 + 5x * 2) = 122 7x + (-14 + 10x) = 122 Reorder the terms: -14 + 7x + 10x = 122 Combine like terms: 7x + 10x = 17x -14 + 17x = 122 Solving -14 + 17x = 122 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 17x = 122 + 14 Combine like terms: -14 + 14 = 0 0 + 17x = 122 + 14 17x = 122 + 14 Combine like terms: 122 + 14 = 136 17x = 136 Divide each side by '17'. x = 8 Simplifying x = 8
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