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Simplifying 5x + -2 = 31 + -6x Reorder the terms: -2 + 5x = 31 + -6x Solving -2 + 5x = 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. -2 + 5x + 6x = 31 + -6x + 6x Combine like terms: 5x + 6x = 11x -2 + 11x = 31 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + 11x = 31 + 0 -2 + 11x = 31 Add '2' to each side of the equation. -2 + 2 + 11x = 31 + 2 Combine like terms: -2 + 2 = 0 0 + 11x = 31 + 2 11x = 31 + 2 Combine like terms: 31 + 2 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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