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Simplifying 4x + 49 = 2x + 31 Reorder the terms: 49 + 4x = 2x + 31 Reorder the terms: 49 + 4x = 31 + 2x Solving 49 + 4x = 31 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 49 + 4x + -2x = 31 + 2x + -2x Combine like terms: 4x + -2x = 2x 49 + 2x = 31 + 2x + -2x Combine like terms: 2x + -2x = 0 49 + 2x = 31 + 0 49 + 2x = 31 Add '-49' to each side of the equation. 49 + -49 + 2x = 31 + -49 Combine like terms: 49 + -49 = 0 0 + 2x = 31 + -49 2x = 31 + -49 Combine like terms: 31 + -49 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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