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Simplifying 6x + -42 = 1 + -7x Reorder the terms: -42 + 6x = 1 + -7x Solving -42 + 6x = 1 + -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. -42 + 6x + 7x = 1 + -7x + 7x Combine like terms: 6x + 7x = 13x -42 + 13x = 1 + -7x + 7x Combine like terms: -7x + 7x = 0 -42 + 13x = 1 + 0 -42 + 13x = 1 Add '42' to each side of the equation. -42 + 42 + 13x = 1 + 42 Combine like terms: -42 + 42 = 0 0 + 13x = 1 + 42 13x = 1 + 42 Combine like terms: 1 + 42 = 43 13x = 43 Divide each side by '13'. x = 3.307692308 Simplifying x = 3.307692308
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