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Simplifying 2x + 31 = 4x + -17 Reorder the terms: 31 + 2x = 4x + -17 Reorder the terms: 31 + 2x = -17 + 4x Solving 31 + 2x = -17 + 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. 31 + 2x + -4x = -17 + 4x + -4x Combine like terms: 2x + -4x = -2x 31 + -2x = -17 + 4x + -4x Combine like terms: 4x + -4x = 0 31 + -2x = -17 + 0 31 + -2x = -17 Add '-31' to each side of the equation. 31 + -31 + -2x = -17 + -31 Combine like terms: 31 + -31 = 0 0 + -2x = -17 + -31 -2x = -17 + -31 Combine like terms: -17 + -31 = -48 -2x = -48 Divide each side by '-2'. x = 24 Simplifying x = 24
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