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Simplifying 7x + 4 = -6x + 82 Reorder the terms: 4 + 7x = -6x + 82 Reorder the terms: 4 + 7x = 82 + -6x Solving 4 + 7x = 82 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 4 + 7x + 6x = 82 + -6x + 6x Combine like terms: 7x + 6x = 13x 4 + 13x = 82 + -6x + 6x Combine like terms: -6x + 6x = 0 4 + 13x = 82 + 0 4 + 13x = 82 Add '-4' to each side of the equation. 4 + -4 + 13x = 82 + -4 Combine like terms: 4 + -4 = 0 0 + 13x = 82 + -4 13x = 82 + -4 Combine like terms: 82 + -4 = 78 13x = 78 Divide each side by '13'. x = 6 Simplifying x = 6
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