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Simplifying 6x + -5 = 13x + -82 Reorder the terms: -5 + 6x = 13x + -82 Reorder the terms: -5 + 6x = -82 + 13x Solving -5 + 6x = -82 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -5 + 6x + -13x = -82 + 13x + -13x Combine like terms: 6x + -13x = -7x -5 + -7x = -82 + 13x + -13x Combine like terms: 13x + -13x = 0 -5 + -7x = -82 + 0 -5 + -7x = -82 Add '5' to each side of the equation. -5 + 5 + -7x = -82 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = -82 + 5 -7x = -82 + 5 Combine like terms: -82 + 5 = -77 -7x = -77 Divide each side by '-7'. x = 11 Simplifying x = 11
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