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Simplifying (17x + 8) + -1(13x + 24) = 180 Reorder the terms: (8 + 17x) + -1(13x + 24) = 180 Remove parenthesis around (8 + 17x) 8 + 17x + -1(13x + 24) = 180 Reorder the terms: 8 + 17x + -1(24 + 13x) = 180 8 + 17x + (24 * -1 + 13x * -1) = 180 8 + 17x + (-24 + -13x) = 180 Reorder the terms: 8 + -24 + 17x + -13x = 180 Combine like terms: 8 + -24 = -16 -16 + 17x + -13x = 180 Combine like terms: 17x + -13x = 4x -16 + 4x = 180 Solving -16 + 4x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 4x = 180 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = 180 + 16 4x = 180 + 16 Combine like terms: 180 + 16 = 196 4x = 196 Divide each side by '4'. x = 49 Simplifying x = 49
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