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Simplifying (3x + 2) = (7x + -1w + -5) Reorder the terms: (2 + 3x) = (7x + -1w + -5) Remove parenthesis around (2 + 3x) 2 + 3x = (7x + -1w + -5) Reorder the terms: 2 + 3x = (-5 + -1w + 7x) Remove parenthesis around (-5 + -1w + 7x) 2 + 3x = -5 + -1w + 7x Solving 2 + 3x = -5 + -1w + 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. 2 + 3x + -7x = -5 + -1w + 7x + -7x Combine like terms: 3x + -7x = -4x 2 + -4x = -5 + -1w + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -4x = -5 + -1w + 0 2 + -4x = -5 + -1w Add '-2' to each side of the equation. 2 + -2 + -4x = -5 + -2 + -1w Combine like terms: 2 + -2 = 0 0 + -4x = -5 + -2 + -1w -4x = -5 + -2 + -1w Combine like terms: -5 + -2 = -7 -4x = -7 + -1w Divide each side by '-4'. x = 1.75 + 0.25w Simplifying x = 1.75 + 0.25w
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