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Simplifying 160 = x + (x + -20) + (2x + -40) Reorder the terms: 160 = x + (-20 + x) + (2x + -40) Remove parenthesis around (-20 + x) 160 = x + -20 + x + (2x + -40) Reorder the terms: 160 = x + -20 + x + (-40 + 2x) Remove parenthesis around (-40 + 2x) 160 = x + -20 + x + -40 + 2x Reorder the terms: 160 = -20 + -40 + x + x + 2x Combine like terms: -20 + -40 = -60 160 = -60 + x + x + 2x Combine like terms: x + x = 2x 160 = -60 + 2x + 2x Combine like terms: 2x + 2x = 4x 160 = -60 + 4x Solving 160 = -60 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 160 + -4x = -60 + 4x + -4x Combine like terms: 4x + -4x = 0 160 + -4x = -60 + 0 160 + -4x = -60 Add '-160' to each side of the equation. 160 + -160 + -4x = -60 + -160 Combine like terms: 160 + -160 = 0 0 + -4x = -60 + -160 -4x = -60 + -160 Combine like terms: -60 + -160 = -220 -4x = -220 Divide each side by '-4'. x = 55 Simplifying x = 55
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