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