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Simplifying -7(7x + -2) = 7(-8x + -6) Reorder the terms: -7(-2 + 7x) = 7(-8x + -6) (-2 * -7 + 7x * -7) = 7(-8x + -6) (14 + -49x) = 7(-8x + -6) Reorder the terms: 14 + -49x = 7(-6 + -8x) 14 + -49x = (-6 * 7 + -8x * 7) 14 + -49x = (-42 + -56x) Solving 14 + -49x = -42 + -56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56x' to each side of the equation. 14 + -49x + 56x = -42 + -56x + 56x Combine like terms: -49x + 56x = 7x 14 + 7x = -42 + -56x + 56x Combine like terms: -56x + 56x = 0 14 + 7x = -42 + 0 14 + 7x = -42 Add '-14' to each side of the equation. 14 + -14 + 7x = -42 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = -42 + -14 7x = -42 + -14 Combine like terms: -42 + -14 = -56 7x = -56 Divide each side by '7'. x = -8 Simplifying x = -8
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