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Simplifying 7(x + -7) = 1 + -6(x) Reorder the terms: 7(-7 + x) = 1 + -6(x) (-7 * 7 + x * 7) = 1 + -6(x) (-49 + 7x) = 1 + -6(x) Solving -49 + 7x = 1 + -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. -49 + 7x + 6x = 1 + -6x + 6x Combine like terms: 7x + 6x = 13x -49 + 13x = 1 + -6x + 6x Combine like terms: -6x + 6x = 0 -49 + 13x = 1 + 0 -49 + 13x = 1 Add '49' to each side of the equation. -49 + 49 + 13x = 1 + 49 Combine like terms: -49 + 49 = 0 0 + 13x = 1 + 49 13x = 1 + 49 Combine like terms: 1 + 49 = 50 13x = 50 Divide each side by '13'. x = 3.846153846 Simplifying x = 3.846153846
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