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Simplifying 6x + 1 = -7x + 92 Reorder the terms: 1 + 6x = -7x + 92 Reorder the terms: 1 + 6x = 92 + -7x Solving 1 + 6x = 92 + -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. 1 + 6x + 7x = 92 + -7x + 7x Combine like terms: 6x + 7x = 13x 1 + 13x = 92 + -7x + 7x Combine like terms: -7x + 7x = 0 1 + 13x = 92 + 0 1 + 13x = 92 Add '-1' to each side of the equation. 1 + -1 + 13x = 92 + -1 Combine like terms: 1 + -1 = 0 0 + 13x = 92 + -1 13x = 92 + -1 Combine like terms: 92 + -1 = 91 13x = 91 Divide each side by '13'. x = 7 Simplifying x = 7
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