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Simplifying (3x + 31) = (4x + 100) Reorder the terms: (31 + 3x) = (4x + 100) Remove parenthesis around (31 + 3x) 31 + 3x = (4x + 100) Reorder the terms: 31 + 3x = (100 + 4x) Remove parenthesis around (100 + 4x) 31 + 3x = 100 + 4x Solving 31 + 3x = 100 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 31 + 3x + -4x = 100 + 4x + -4x Combine like terms: 3x + -4x = -1x 31 + -1x = 100 + 4x + -4x Combine like terms: 4x + -4x = 0 31 + -1x = 100 + 0 31 + -1x = 100 Add '-31' to each side of the equation. 31 + -31 + -1x = 100 + -31 Combine like terms: 31 + -31 = 0 0 + -1x = 100 + -31 -1x = 100 + -31 Combine like terms: 100 + -31 = 69 -1x = 69 Divide each side by '-1'. x = -69 Simplifying x = -69
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