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Simplifying (2x + 46) = (7x + 6) Reorder the terms: (46 + 2x) = (7x + 6) Remove parenthesis around (46 + 2x) 46 + 2x = (7x + 6) Reorder the terms: 46 + 2x = (6 + 7x) Remove parenthesis around (6 + 7x) 46 + 2x = 6 + 7x Solving 46 + 2x = 6 + 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. 46 + 2x + -7x = 6 + 7x + -7x Combine like terms: 2x + -7x = -5x 46 + -5x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 46 + -5x = 6 + 0 46 + -5x = 6 Add '-46' to each side of the equation. 46 + -46 + -5x = 6 + -46 Combine like terms: 46 + -46 = 0 0 + -5x = 6 + -46 -5x = 6 + -46 Combine like terms: 6 + -46 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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