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Simplifying (4x + 31) = (x + 46) Reorder the terms: (31 + 4x) = (x + 46) Remove parenthesis around (31 + 4x) 31 + 4x = (x + 46) Reorder the terms: 31 + 4x = (46 + x) Remove parenthesis around (46 + x) 31 + 4x = 46 + x Solving 31 + 4x = 46 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 31 + 4x + -1x = 46 + x + -1x Combine like terms: 4x + -1x = 3x 31 + 3x = 46 + x + -1x Combine like terms: x + -1x = 0 31 + 3x = 46 + 0 31 + 3x = 46 Add '-31' to each side of the equation. 31 + -31 + 3x = 46 + -31 Combine like terms: 31 + -31 = 0 0 + 3x = 46 + -31 3x = 46 + -31 Combine like terms: 46 + -31 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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