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Simplifying (3x + 7) = (5x + 6) Reorder the terms: (7 + 3x) = (5x + 6) Remove parenthesis around (7 + 3x) 7 + 3x = (5x + 6) Reorder the terms: 7 + 3x = (6 + 5x) Remove parenthesis around (6 + 5x) 7 + 3x = 6 + 5x Solving 7 + 3x = 6 + 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. 7 + 3x + -5x = 6 + 5x + -5x Combine like terms: 3x + -5x = -2x 7 + -2x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -2x = 6 + 0 7 + -2x = 6 Add '-7' to each side of the equation. 7 + -7 + -2x = 6 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 6 + -7 -2x = 6 + -7 Combine like terms: 6 + -7 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5
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