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Simplifying x + -41 = 71 + -6x Reorder the terms: -41 + x = 71 + -6x Solving -41 + x = 71 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -41 + x + 6x = 71 + -6x + 6x Combine like terms: x + 6x = 7x -41 + 7x = 71 + -6x + 6x Combine like terms: -6x + 6x = 0 -41 + 7x = 71 + 0 -41 + 7x = 71 Add '41' to each side of the equation. -41 + 41 + 7x = 71 + 41 Combine like terms: -41 + 41 = 0 0 + 7x = 71 + 41 7x = 71 + 41 Combine like terms: 71 + 41 = 112 7x = 112 Divide each side by '7'. x = 16 Simplifying x = 16
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