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Simplifying -7(x + 7) + 7(2x + 1) = 0 Reorder the terms: -7(7 + x) + 7(2x + 1) = 0 (7 * -7 + x * -7) + 7(2x + 1) = 0 (-49 + -7x) + 7(2x + 1) = 0 Reorder the terms: -49 + -7x + 7(1 + 2x) = 0 -49 + -7x + (1 * 7 + 2x * 7) = 0 -49 + -7x + (7 + 14x) = 0 Reorder the terms: -49 + 7 + -7x + 14x = 0 Combine like terms: -49 + 7 = -42 -42 + -7x + 14x = 0 Combine like terms: -7x + 14x = 7x -42 + 7x = 0 Solving -42 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 7x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 7x = 0 + 42 7x = 0 + 42 Combine like terms: 0 + 42 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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