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Simplifying 5x + -71 = x + 41 Reorder the terms: -71 + 5x = x + 41 Reorder the terms: -71 + 5x = 41 + x Solving -71 + 5x = 41 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -71 + 5x + -1x = 41 + x + -1x Combine like terms: 5x + -1x = 4x -71 + 4x = 41 + x + -1x Combine like terms: x + -1x = 0 -71 + 4x = 41 + 0 -71 + 4x = 41 Add '71' to each side of the equation. -71 + 71 + 4x = 41 + 71 Combine like terms: -71 + 71 = 0 0 + 4x = 41 + 71 4x = 41 + 71 Combine like terms: 41 + 71 = 112 4x = 112 Divide each side by '4'. x = 28 Simplifying x = 28
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