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Simplifying 7x + 2(5x + -17) = 102 Reorder the terms: 7x + 2(-17 + 5x) = 102 7x + (-17 * 2 + 5x * 2) = 102 7x + (-34 + 10x) = 102 Reorder the terms: -34 + 7x + 10x = 102 Combine like terms: 7x + 10x = 17x -34 + 17x = 102 Solving -34 + 17x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 17x = 102 + 34 Combine like terms: -34 + 34 = 0 0 + 17x = 102 + 34 17x = 102 + 34 Combine like terms: 102 + 34 = 136 17x = 136 Divide each side by '17'. x = 8 Simplifying x = 8
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