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Simplifying -5(x + -1) + -7 = -7x + 2 Reorder the terms: -5(-1 + x) + -7 = -7x + 2 (-1 * -5 + x * -5) + -7 = -7x + 2 (5 + -5x) + -7 = -7x + 2 Reorder the terms: 5 + -7 + -5x = -7x + 2 Combine like terms: 5 + -7 = -2 -2 + -5x = -7x + 2 Reorder the terms: -2 + -5x = 2 + -7x Solving -2 + -5x = 2 + -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. -2 + -5x + 7x = 2 + -7x + 7x Combine like terms: -5x + 7x = 2x -2 + 2x = 2 + -7x + 7x Combine like terms: -7x + 7x = 0 -2 + 2x = 2 + 0 -2 + 2x = 2 Add '2' to each side of the equation. -2 + 2 + 2x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 2 + 2 2x = 2 + 2 Combine like terms: 2 + 2 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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