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Simplifying (17x + -5) + -1(10x + 7) = 23 Reorder the terms: (-5 + 17x) + -1(10x + 7) = 23 Remove parenthesis around (-5 + 17x) -5 + 17x + -1(10x + 7) = 23 Reorder the terms: -5 + 17x + -1(7 + 10x) = 23 -5 + 17x + (7 * -1 + 10x * -1) = 23 -5 + 17x + (-7 + -10x) = 23 Reorder the terms: -5 + -7 + 17x + -10x = 23 Combine like terms: -5 + -7 = -12 -12 + 17x + -10x = 23 Combine like terms: 17x + -10x = 7x -12 + 7x = 23 Solving -12 + 7x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 7x = 23 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 23 + 12 7x = 23 + 12 Combine like terms: 23 + 12 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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