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Simplifying -1 + 7x = -6(x + -2) Reorder the terms: -1 + 7x = -6(-2 + x) -1 + 7x = (-2 * -6 + x * -6) -1 + 7x = (12 + -6x) Solving -1 + 7x = 12 + -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. -1 + 7x + 6x = 12 + -6x + 6x Combine like terms: 7x + 6x = 13x -1 + 13x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 -1 + 13x = 12 + 0 -1 + 13x = 12 Add '1' to each side of the equation. -1 + 1 + 13x = 12 + 1 Combine like terms: -1 + 1 = 0 0 + 13x = 12 + 1 13x = 12 + 1 Combine like terms: 12 + 1 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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