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Simplifying 8x + 6 = -7x + 81 Reorder the terms: 6 + 8x = -7x + 81 Reorder the terms: 6 + 8x = 81 + -7x Solving 6 + 8x = 81 + -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 + 8x + 7x = 81 + -7x + 7x Combine like terms: 8x + 7x = 15x 6 + 15x = 81 + -7x + 7x Combine like terms: -7x + 7x = 0 6 + 15x = 81 + 0 6 + 15x = 81 Add '-6' to each side of the equation. 6 + -6 + 15x = 81 + -6 Combine like terms: 6 + -6 = 0 0 + 15x = 81 + -6 15x = 81 + -6 Combine like terms: 81 + -6 = 75 15x = 75 Divide each side by '15'. x = 5 Simplifying x = 5
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