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Simplifying 180 + -1(3x + -16) = 180 + -1(5x + 40) Reorder the terms: 180 + -1(-16 + 3x) = 180 + -1(5x + 40) 180 + (-16 * -1 + 3x * -1) = 180 + -1(5x + 40) 180 + (16 + -3x) = 180 + -1(5x + 40) Combine like terms: 180 + 16 = 196 196 + -3x = 180 + -1(5x + 40) Reorder the terms: 196 + -3x = 180 + -1(40 + 5x) 196 + -3x = 180 + (40 * -1 + 5x * -1) 196 + -3x = 180 + (-40 + -5x) Combine like terms: 180 + -40 = 140 196 + -3x = 140 + -5x Solving 196 + -3x = 140 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 196 + -3x + 5x = 140 + -5x + 5x Combine like terms: -3x + 5x = 2x 196 + 2x = 140 + -5x + 5x Combine like terms: -5x + 5x = 0 196 + 2x = 140 + 0 196 + 2x = 140 Add '-196' to each side of the equation. 196 + -196 + 2x = 140 + -196 Combine like terms: 196 + -196 = 0 0 + 2x = 140 + -196 2x = 140 + -196 Combine like terms: 140 + -196 = -56 2x = -56 Divide each side by '2'. x = -28 Simplifying x = -28
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