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Simplifying 4x + -71 = -2x + 31 Reorder the terms: -71 + 4x = -2x + 31 Reorder the terms: -71 + 4x = 31 + -2x Solving -71 + 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. -71 + 4x + 2x = 31 + -2x + 2x Combine like terms: 4x + 2x = 6x -71 + 6x = 31 + -2x + 2x Combine like terms: -2x + 2x = 0 -71 + 6x = 31 + 0 -71 + 6x = 31 Add '71' to each side of the equation. -71 + 71 + 6x = 31 + 71 Combine like terms: -71 + 71 = 0 0 + 6x = 31 + 71 6x = 31 + 71 Combine like terms: 31 + 71 = 102 6x = 102 Divide each side by '6'. x = 17 Simplifying x = 17
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