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Simplifying -2(2x + -2) = -7x + 31 Reorder the terms: -2(-2 + 2x) = -7x + 31 (-2 * -2 + 2x * -2) = -7x + 31 (4 + -4x) = -7x + 31 Reorder the terms: 4 + -4x = 31 + -7x Solving 4 + -4x = 31 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 4 + -4x + 7x = 31 + -7x + 7x Combine like terms: -4x + 7x = 3x 4 + 3x = 31 + -7x + 7x Combine like terms: -7x + 7x = 0 4 + 3x = 31 + 0 4 + 3x = 31 Add '-4' to each side of the equation. 4 + -4 + 3x = 31 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 31 + -4 3x = 31 + -4 Combine like terms: 31 + -4 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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