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Simplifying (45x + 5) = (46x + 2) Reorder the terms: (5 + 45x) = (46x + 2) Remove parenthesis around (5 + 45x) 5 + 45x = (46x + 2) Reorder the terms: 5 + 45x = (2 + 46x) Remove parenthesis around (2 + 46x) 5 + 45x = 2 + 46x Solving 5 + 45x = 2 + 46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46x' to each side of the equation. 5 + 45x + -46x = 2 + 46x + -46x Combine like terms: 45x + -46x = -1x 5 + -1x = 2 + 46x + -46x Combine like terms: 46x + -46x = 0 5 + -1x = 2 + 0 5 + -1x = 2 Add '-5' to each side of the equation. 5 + -5 + -1x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 2 + -5 -1x = 2 + -5 Combine like terms: 2 + -5 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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