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Simplifying 7x + 5(3x + -17) = 113 Reorder the terms: 7x + 5(-17 + 3x) = 113 7x + (-17 * 5 + 3x * 5) = 113 7x + (-85 + 15x) = 113 Reorder the terms: -85 + 7x + 15x = 113 Combine like terms: 7x + 15x = 22x -85 + 22x = 113 Solving -85 + 22x = 113 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '85' to each side of the equation. -85 + 85 + 22x = 113 + 85 Combine like terms: -85 + 85 = 0 0 + 22x = 113 + 85 22x = 113 + 85 Combine like terms: 113 + 85 = 198 22x = 198 Divide each side by '22'. x = 9 Simplifying x = 9
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