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Simplifying -7(x + 4) + 7(2x + 1) = 0 Reorder the terms: -7(4 + x) + 7(2x + 1) = 0 (4 * -7 + x * -7) + 7(2x + 1) = 0 (-28 + -7x) + 7(2x + 1) = 0 Reorder the terms: -28 + -7x + 7(1 + 2x) = 0 -28 + -7x + (1 * 7 + 2x * 7) = 0 -28 + -7x + (7 + 14x) = 0 Reorder the terms: -28 + 7 + -7x + 14x = 0 Combine like terms: -28 + 7 = -21 -21 + -7x + 14x = 0 Combine like terms: -7x + 14x = 7x -21 + 7x = 0 Solving -21 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 7x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 7x = 0 + 21 7x = 0 + 21 Combine like terms: 0 + 21 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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