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Simplifying -7(-6x + 5) = -7x + 14 Reorder the terms: -7(5 + -6x) = -7x + 14 (5 * -7 + -6x * -7) = -7x + 14 (-35 + 42x) = -7x + 14 Reorder the terms: -35 + 42x = 14 + -7x Solving -35 + 42x = 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 + 42x + 7x = 14 + -7x + 7x Combine like terms: 42x + 7x = 49x -35 + 49x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 -35 + 49x = 14 + 0 -35 + 49x = 14 Add '35' to each side of the equation. -35 + 35 + 49x = 14 + 35 Combine like terms: -35 + 35 = 0 0 + 49x = 14 + 35 49x = 14 + 35 Combine like terms: 14 + 35 = 49 49x = 49 Divide each side by '49'. x = 1 Simplifying x = 1
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