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