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Simplifying 5x + 2(7x + -17) = 61 Reorder the terms: 5x + 2(-17 + 7x) = 61 5x + (-17 * 2 + 7x * 2) = 61 5x + (-34 + 14x) = 61 Reorder the terms: -34 + 5x + 14x = 61 Combine like terms: 5x + 14x = 19x -34 + 19x = 61 Solving -34 + 19x = 61 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 + 19x = 61 + 34 Combine like terms: -34 + 34 = 0 0 + 19x = 61 + 34 19x = 61 + 34 Combine like terms: 61 + 34 = 95 19x = 95 Divide each side by '19'. x = 5 Simplifying x = 5
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