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Simplifying (9x + -40) = (5x + 8) Reorder the terms: (-40 + 9x) = (5x + 8) Remove parenthesis around (-40 + 9x) -40 + 9x = (5x + 8) Reorder the terms: -40 + 9x = (8 + 5x) Remove parenthesis around (8 + 5x) -40 + 9x = 8 + 5x Solving -40 + 9x = 8 + 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. -40 + 9x + -5x = 8 + 5x + -5x Combine like terms: 9x + -5x = 4x -40 + 4x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -40 + 4x = 8 + 0 -40 + 4x = 8 Add '40' to each side of the equation. -40 + 40 + 4x = 8 + 40 Combine like terms: -40 + 40 = 0 0 + 4x = 8 + 40 4x = 8 + 40 Combine like terms: 8 + 40 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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