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Simplifying (4x + -5) + -1(2x + 17) = 180 Reorder the terms: (-5 + 4x) + -1(2x + 17) = 180 Remove parenthesis around (-5 + 4x) -5 + 4x + -1(2x + 17) = 180 Reorder the terms: -5 + 4x + -1(17 + 2x) = 180 -5 + 4x + (17 * -1 + 2x * -1) = 180 -5 + 4x + (-17 + -2x) = 180 Reorder the terms: -5 + -17 + 4x + -2x = 180 Combine like terms: -5 + -17 = -22 -22 + 4x + -2x = 180 Combine like terms: 4x + -2x = 2x -22 + 2x = 180 Solving -22 + 2x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 2x = 180 + 22 Combine like terms: -22 + 22 = 0 0 + 2x = 180 + 22 2x = 180 + 22 Combine like terms: 180 + 22 = 202 2x = 202 Divide each side by '2'. x = 101 Simplifying x = 101
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