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Simplifying 7(-2x + 2) = -154 + 7x Reorder the terms: 7(2 + -2x) = -154 + 7x (2 * 7 + -2x * 7) = -154 + 7x (14 + -14x) = -154 + 7x Solving 14 + -14x = -154 + 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. 14 + -14x + -7x = -154 + 7x + -7x Combine like terms: -14x + -7x = -21x 14 + -21x = -154 + 7x + -7x Combine like terms: 7x + -7x = 0 14 + -21x = -154 + 0 14 + -21x = -154 Add '-14' to each side of the equation. 14 + -14 + -21x = -154 + -14 Combine like terms: 14 + -14 = 0 0 + -21x = -154 + -14 -21x = -154 + -14 Combine like terms: -154 + -14 = -168 -21x = -168 Divide each side by '-21'. x = 8 Simplifying x = 8
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