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Simplifying 2x + -3(2x + -3) + 2 = 31 Reorder the terms: 2x + -3(-3 + 2x) + 2 = 31 2x + (-3 * -3 + 2x * -3) + 2 = 31 2x + (9 + -6x) + 2 = 31 Reorder the terms: 9 + 2 + 2x + -6x = 31 Combine like terms: 9 + 2 = 11 11 + 2x + -6x = 31 Combine like terms: 2x + -6x = -4x 11 + -4x = 31 Solving 11 + -4x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -4x = 31 + -11 Combine like terms: 11 + -11 = 0 0 + -4x = 31 + -11 -4x = 31 + -11 Combine like terms: 31 + -11 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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