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Simplifying (3x + -40) + (2x + -10) = 180 Reorder the terms: (-40 + 3x) + (2x + -10) = 180 Remove parenthesis around (-40 + 3x) -40 + 3x + (2x + -10) = 180 Reorder the terms: -40 + 3x + (-10 + 2x) = 180 Remove parenthesis around (-10 + 2x) -40 + 3x + -10 + 2x = 180 Reorder the terms: -40 + -10 + 3x + 2x = 180 Combine like terms: -40 + -10 = -50 -50 + 3x + 2x = 180 Combine like terms: 3x + 2x = 5x -50 + 5x = 180 Solving -50 + 5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 5x = 180 + 50 Combine like terms: -50 + 50 = 0 0 + 5x = 180 + 50 5x = 180 + 50 Combine like terms: 180 + 50 = 230 5x = 230 Divide each side by '5'. x = 46 Simplifying x = 46
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