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Simplifying 5(x + -1) = -5 + -7x Reorder the terms: 5(-1 + x) = -5 + -7x (-1 * 5 + x * 5) = -5 + -7x (-5 + 5x) = -5 + -7x Add '5' to each side of the equation. -5 + 5 + 5x = -5 + 5 + -7x Combine like terms: -5 + 5 = 0 0 + 5x = -5 + 5 + -7x 5x = -5 + 5 + -7x Combine like terms: -5 + 5 = 0 5x = 0 + -7x 5x = -7x Solving 5x = -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. 5x + 7x = -7x + 7x Combine like terms: 5x + 7x = 12x 12x = -7x + 7x Combine like terms: -7x + 7x = 0 12x = 0 Divide each side by '12'. x = 0 Simplifying x = 0
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