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Simplifying -7(2x + 5) = -14 + 7x Reorder the terms: -7(5 + 2x) = -14 + 7x (5 * -7 + 2x * -7) = -14 + 7x (-35 + -14x) = -14 + 7x Solving -35 + -14x = -14 + 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 + -14x + -7x = -14 + 7x + -7x Combine like terms: -14x + -7x = -21x -35 + -21x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 -35 + -21x = -14 + 0 -35 + -21x = -14 Add '35' to each side of the equation. -35 + 35 + -21x = -14 + 35 Combine like terms: -35 + 35 = 0 0 + -21x = -14 + 35 -21x = -14 + 35 Combine like terms: -14 + 35 = 21 -21x = 21 Divide each side by '-21'. x = -1 Simplifying x = -1
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