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Simplifying x + 6 = -7x + 86 Reorder the terms: 6 + x = -7x + 86 Reorder the terms: 6 + x = 86 + -7x Solving 6 + x = 86 + -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. 6 + x + 7x = 86 + -7x + 7x Combine like terms: x + 7x = 8x 6 + 8x = 86 + -7x + 7x Combine like terms: -7x + 7x = 0 6 + 8x = 86 + 0 6 + 8x = 86 Add '-6' to each side of the equation. 6 + -6 + 8x = 86 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = 86 + -6 8x = 86 + -6 Combine like terms: 86 + -6 = 80 8x = 80 Divide each side by '8'. x = 10 Simplifying x = 10
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