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Simplifying (4x + 35) = (7x + -40) Reorder the terms: (35 + 4x) = (7x + -40) Remove parenthesis around (35 + 4x) 35 + 4x = (7x + -40) Reorder the terms: 35 + 4x = (-40 + 7x) Remove parenthesis around (-40 + 7x) 35 + 4x = -40 + 7x Solving 35 + 4x = -40 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 35 + 4x + -7x = -40 + 7x + -7x Combine like terms: 4x + -7x = -3x 35 + -3x = -40 + 7x + -7x Combine like terms: 7x + -7x = 0 35 + -3x = -40 + 0 35 + -3x = -40 Add '-35' to each side of the equation. 35 + -35 + -3x = -40 + -35 Combine like terms: 35 + -35 = 0 0 + -3x = -40 + -35 -3x = -40 + -35 Combine like terms: -40 + -35 = -75 -3x = -75 Divide each side by '-3'. x = 25 Simplifying x = 25
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