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Simplifying 31x + 6 = 33x + -2 Reorder the terms: 6 + 31x = 33x + -2 Reorder the terms: 6 + 31x = -2 + 33x Solving 6 + 31x = -2 + 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. 6 + 31x + -33x = -2 + 33x + -33x Combine like terms: 31x + -33x = -2x 6 + -2x = -2 + 33x + -33x Combine like terms: 33x + -33x = 0 6 + -2x = -2 + 0 6 + -2x = -2 Add '-6' to each side of the equation. 6 + -6 + -2x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -2 + -6 -2x = -2 + -6 Combine like terms: -2 + -6 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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