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Simplifying 4x + 1 = 31 + -2x 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 = 6x 1 + 6x = 31 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 6x = 31 + 0 1 + 6x = 31 Add '-1' to each side of the equation. 1 + -1 + 6x = 31 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 31 + -1 6x = 31 + -1 Combine like terms: 31 + -1 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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