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Simplifying 5 + -2(2x + -9) = 4x + 31 Reorder the terms: 5 + -2(-9 + 2x) = 4x + 31 5 + (-9 * -2 + 2x * -2) = 4x + 31 5 + (18 + -4x) = 4x + 31 Combine like terms: 5 + 18 = 23 23 + -4x = 4x + 31 Reorder the terms: 23 + -4x = 31 + 4x Solving 23 + -4x = 31 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 23 + -4x + -4x = 31 + 4x + -4x Combine like terms: -4x + -4x = -8x 23 + -8x = 31 + 4x + -4x Combine like terms: 4x + -4x = 0 23 + -8x = 31 + 0 23 + -8x = 31 Add '-23' to each side of the equation. 23 + -23 + -8x = 31 + -23 Combine like terms: 23 + -23 = 0 0 + -8x = 31 + -23 -8x = 31 + -23 Combine like terms: 31 + -23 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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