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Simplifying 1 + 2x = 6x + -31 Reorder the terms: 1 + 2x = -31 + 6x Solving 1 + 2x = -31 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1 + 2x + -6x = -31 + 6x + -6x Combine like terms: 2x + -6x = -4x 1 + -4x = -31 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -4x = -31 + 0 1 + -4x = -31 Add '-1' to each side of the equation. 1 + -1 + -4x = -31 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = -31 + -1 -4x = -31 + -1 Combine like terms: -31 + -1 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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