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Simplifying 82 + -1(6x + 5) = 6(x + 2) + x Reorder the terms: 82 + -1(5 + 6x) = 6(x + 2) + x 82 + (5 * -1 + 6x * -1) = 6(x + 2) + x 82 + (-5 + -6x) = 6(x + 2) + x Combine like terms: 82 + -5 = 77 77 + -6x = 6(x + 2) + x Reorder the terms: 77 + -6x = 6(2 + x) + x 77 + -6x = (2 * 6 + x * 6) + x 77 + -6x = (12 + 6x) + x Combine like terms: 6x + x = 7x 77 + -6x = 12 + 7x Solving 77 + -6x = 12 + 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. 77 + -6x + -7x = 12 + 7x + -7x Combine like terms: -6x + -7x = -13x 77 + -13x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 77 + -13x = 12 + 0 77 + -13x = 12 Add '-77' to each side of the equation. 77 + -77 + -13x = 12 + -77 Combine like terms: 77 + -77 = 0 0 + -13x = 12 + -77 -13x = 12 + -77 Combine like terms: 12 + -77 = -65 -13x = -65 Divide each side by '-13'. x = 5 Simplifying x = 5
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