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Simplifying (x + -40) + x + 2(x + -40) = 380 Reorder the terms: (-40 + x) + x + 2(x + -40) = 380 Remove parenthesis around (-40 + x) -40 + x + x + 2(x + -40) = 380 Reorder the terms: -40 + x + x + 2(-40 + x) = 380 -40 + x + x + (-40 * 2 + x * 2) = 380 -40 + x + x + (-80 + 2x) = 380 Reorder the terms: -40 + -80 + x + x + 2x = 380 Combine like terms: -40 + -80 = -120 -120 + x + x + 2x = 380 Combine like terms: x + x = 2x -120 + 2x + 2x = 380 Combine like terms: 2x + 2x = 4x -120 + 4x = 380 Solving -120 + 4x = 380 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '120' to each side of the equation. -120 + 120 + 4x = 380 + 120 Combine like terms: -120 + 120 = 0 0 + 4x = 380 + 120 4x = 380 + 120 Combine like terms: 380 + 120 = 500 4x = 500 Divide each side by '4'. x = 125 Simplifying x = 125
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