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Simplifying 4x + -17 = 2x + -31 Reorder the terms: -17 + 4x = 2x + -31 Reorder the terms: -17 + 4x = -31 + 2x Solving -17 + 4x = -31 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -17 + 4x + -2x = -31 + 2x + -2x Combine like terms: 4x + -2x = 2x -17 + 2x = -31 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + 2x = -31 + 0 -17 + 2x = -31 Add '17' to each side of the equation. -17 + 17 + 2x = -31 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = -31 + 17 2x = -31 + 17 Combine like terms: -31 + 17 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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