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Simplifying -7(x + -1) = -7 + 7(x + 8) Reorder the terms: -7(-1 + x) = -7 + 7(x + 8) (-1 * -7 + x * -7) = -7 + 7(x + 8) (7 + -7x) = -7 + 7(x + 8) Reorder the terms: 7 + -7x = -7 + 7(8 + x) 7 + -7x = -7 + (8 * 7 + x * 7) 7 + -7x = -7 + (56 + 7x) Combine like terms: -7 + 56 = 49 7 + -7x = 49 + 7x Solving 7 + -7x = 49 + 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. 7 + -7x + -7x = 49 + 7x + -7x Combine like terms: -7x + -7x = -14x 7 + -14x = 49 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + -14x = 49 + 0 7 + -14x = 49 Add '-7' to each side of the equation. 7 + -7 + -14x = 49 + -7 Combine like terms: 7 + -7 = 0 0 + -14x = 49 + -7 -14x = 49 + -7 Combine like terms: 49 + -7 = 42 -14x = 42 Divide each side by '-14'. x = -3 Simplifying x = -3
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