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Simplifying -6 + x = -6x + 71 Reorder the terms: -6 + x = 71 + -6x Solving -6 + 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. -6 + x + 6x = 71 + -6x + 6x Combine like terms: x + 6x = 7x -6 + 7x = 71 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 7x = 71 + 0 -6 + 7x = 71 Add '6' to each side of the equation. -6 + 6 + 7x = 71 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 71 + 6 7x = 71 + 6 Combine like terms: 71 + 6 = 77 7x = 77 Divide each side by '7'. x = 11 Simplifying x = 11
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