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Simplifying 5x + -3(-7x + 17) = 105 Reorder the terms: 5x + -3(17 + -7x) = 105 5x + (17 * -3 + -7x * -3) = 105 5x + (-51 + 21x) = 105 Reorder the terms: -51 + 5x + 21x = 105 Combine like terms: 5x + 21x = 26x -51 + 26x = 105 Solving -51 + 26x = 105 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 26x = 105 + 51 Combine like terms: -51 + 51 = 0 0 + 26x = 105 + 51 26x = 105 + 51 Combine like terms: 105 + 51 = 156 26x = 156 Divide each side by '26'. x = 6 Simplifying x = 6
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