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Simplifying x + -71 = -7x + 41 Reorder the terms: -71 + x = -7x + 41 Reorder the terms: -71 + x = 41 + -7x Solving -71 + x = 41 + -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. -71 + x + 7x = 41 + -7x + 7x Combine like terms: x + 7x = 8x -71 + 8x = 41 + -7x + 7x Combine like terms: -7x + 7x = 0 -71 + 8x = 41 + 0 -71 + 8x = 41 Add '71' to each side of the equation. -71 + 71 + 8x = 41 + 71 Combine like terms: -71 + 71 = 0 0 + 8x = 41 + 71 8x = 41 + 71 Combine like terms: 41 + 71 = 112 8x = 112 Divide each side by '8'. x = 14 Simplifying x = 14
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