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Simplifying 7x + 6(x + -8) = 82 Reorder the terms: 7x + 6(-8 + x) = 82 7x + (-8 * 6 + x * 6) = 82 7x + (-48 + 6x) = 82 Reorder the terms: -48 + 7x + 6x = 82 Combine like terms: 7x + 6x = 13x -48 + 13x = 82 Solving -48 + 13x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 13x = 82 + 48 Combine like terms: -48 + 48 = 0 0 + 13x = 82 + 48 13x = 82 + 48 Combine like terms: 82 + 48 = 130 13x = 130 Divide each side by '13'. x = 10 Simplifying x = 10
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