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Simplifying (4x + -40) + (x + 30) = 90 Reorder the terms: (-40 + 4x) + (x + 30) = 90 Remove parenthesis around (-40 + 4x) -40 + 4x + (x + 30) = 90 Reorder the terms: -40 + 4x + (30 + x) = 90 Remove parenthesis around (30 + x) -40 + 4x + 30 + x = 90 Reorder the terms: -40 + 30 + 4x + x = 90 Combine like terms: -40 + 30 = -10 -10 + 4x + x = 90 Combine like terms: 4x + x = 5x -10 + 5x = 90 Solving -10 + 5x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 5x = 90 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 90 + 10 5x = 90 + 10 Combine like terms: 90 + 10 = 100 5x = 100 Divide each side by '5'. x = 20 Simplifying x = 20
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