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Simplifying -6(x + -7) + -7 = -7x + 2 Reorder the terms: -6(-7 + x) + -7 = -7x + 2 (-7 * -6 + x * -6) + -7 = -7x + 2 (42 + -6x) + -7 = -7x + 2 Reorder the terms: 42 + -7 + -6x = -7x + 2 Combine like terms: 42 + -7 = 35 35 + -6x = -7x + 2 Reorder the terms: 35 + -6x = 2 + -7x Solving 35 + -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. 35 + -6x + 7x = 2 + -7x + 7x Combine like terms: -6x + 7x = 1x 35 + 1x = 2 + -7x + 7x Combine like terms: -7x + 7x = 0 35 + 1x = 2 + 0 35 + 1x = 2 Add '-35' to each side of the equation. 35 + -35 + 1x = 2 + -35 Combine like terms: 35 + -35 = 0 0 + 1x = 2 + -35 1x = 2 + -35 Combine like terms: 2 + -35 = -33 1x = -33 Divide each side by '1'. x = -33 Simplifying x = -33
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