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Simplifying 2x(3 + 4) + -7(x + 3) = 0 Combine like terms: 3 + 4 = 7 2x(7) + -7(x + 3) = 0 Reorder the terms for easier multiplication: 2 * 7x + -7(x + 3) = 0 Multiply 2 * 7 14x + -7(x + 3) = 0 Reorder the terms: 14x + -7(3 + x) = 0 14x + (3 * -7 + x * -7) = 0 14x + (-21 + -7x) = 0 Reorder the terms: -21 + 14x + -7x = 0 Combine like terms: 14x + -7x = 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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