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Simplifying 4x + 1 = 2x + 31 Reorder the terms: 1 + 4x = 2x + 31 Reorder the terms: 1 + 4x = 31 + 2x Solving 1 + 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. 1 + 4x + -2x = 31 + 2x + -2x Combine like terms: 4x + -2x = 2x 1 + 2x = 31 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 2x = 31 + 0 1 + 2x = 31 Add '-1' to each side of the equation. 1 + -1 + 2x = 31 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 31 + -1 2x = 31 + -1 Combine like terms: 31 + -1 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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