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Simplifying (6x + -5x + 7x) + -1(2x + 5x + 7) = 0 Combine like terms: 6x + -5x = 1x (1x + 7x) + -1(2x + 5x + 7) = 0 Combine like terms: 1x + 7x = 8x (8x) + -1(2x + 5x + 7) = 0 (8x) + -1(2x + 5x + 7) = 0 Reorder the terms: (8x) + -1(7 + 2x + 5x) = 0 Combine like terms: 2x + 5x = 7x (8x) + -1(7 + 7x) = 0 (8x) + (7 * -1 + 7x * -1) = 0 (8x) + (-7 + -7x) = 0 Reorder the terms: -7 + (8x) + -7x = 0 Combine like terms: (8x) + -7x = 1x -7 + 1x = 0 Solving -7 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 0 + 7 1x = 0 + 7 Combine like terms: 0 + 7 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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