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Simplifying 7(x + -1) + 5(2 + -1x) + -7 = 0 Reorder the terms: 7(-1 + x) + 5(2 + -1x) + -7 = 0 (-1 * 7 + x * 7) + 5(2 + -1x) + -7 = 0 (-7 + 7x) + 5(2 + -1x) + -7 = 0 -7 + 7x + (2 * 5 + -1x * 5) + -7 = 0 -7 + 7x + (10 + -5x) + -7 = 0 Reorder the terms: -7 + 10 + -7 + 7x + -5x = 0 Combine like terms: -7 + 10 = 3 3 + -7 + 7x + -5x = 0 Combine like terms: 3 + -7 = -4 -4 + 7x + -5x = 0 Combine like terms: 7x + -5x = 2x -4 + 2x = 0 Solving -4 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 2x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 0 + 4 2x = 0 + 4 Combine like terms: 0 + 4 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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