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Simplifying 180 + -1(3x + 5) = (9x + -17) Reorder the terms: 180 + -1(5 + 3x) = (9x + -17) 180 + (5 * -1 + 3x * -1) = (9x + -17) 180 + (-5 + -3x) = (9x + -17) Combine like terms: 180 + -5 = 175 175 + -3x = (9x + -17) Reorder the terms: 175 + -3x = (-17 + 9x) Remove parenthesis around (-17 + 9x) 175 + -3x = -17 + 9x Solving 175 + -3x = -17 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 175 + -3x + -9x = -17 + 9x + -9x Combine like terms: -3x + -9x = -12x 175 + -12x = -17 + 9x + -9x Combine like terms: 9x + -9x = 0 175 + -12x = -17 + 0 175 + -12x = -17 Add '-175' to each side of the equation. 175 + -175 + -12x = -17 + -175 Combine like terms: 175 + -175 = 0 0 + -12x = -17 + -175 -12x = -17 + -175 Combine like terms: -17 + -175 = -192 -12x = -192 Divide each side by '-12'. x = 16 Simplifying x = 16
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