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Simplifying -7(6 + -2x) + 7(5x + 6) = x + 7x (6 * -7 + -2x * -7) + 7(5x + 6) = x + 7x (-42 + 14x) + 7(5x + 6) = x + 7x Reorder the terms: -42 + 14x + 7(6 + 5x) = x + 7x -42 + 14x + (6 * 7 + 5x * 7) = x + 7x -42 + 14x + (42 + 35x) = x + 7x Reorder the terms: -42 + 42 + 14x + 35x = x + 7x Combine like terms: -42 + 42 = 0 0 + 14x + 35x = x + 7x 14x + 35x = x + 7x Combine like terms: 14x + 35x = 49x 49x = x + 7x Combine like terms: x + 7x = 8x 49x = 8x Solving 49x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 49x + -8x = 8x + -8x Combine like terms: 49x + -8x = 41x 41x = 8x + -8x Combine like terms: 8x + -8x = 0 41x = 0 Divide each side by '41'. x = 0 Simplifying x = 0
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