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Simplifying 4x(2 + 3) + 2(7x + -6) = 0 Combine like terms: 2 + 3 = 5 4x(5) + 2(7x + -6) = 0 Reorder the terms for easier multiplication: 4 * 5x + 2(7x + -6) = 0 Multiply 4 * 5 20x + 2(7x + -6) = 0 Reorder the terms: 20x + 2(-6 + 7x) = 0 20x + (-6 * 2 + 7x * 2) = 0 20x + (-12 + 14x) = 0 Reorder the terms: -12 + 20x + 14x = 0 Combine like terms: 20x + 14x = 34x -12 + 34x = 0 Solving -12 + 34x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 34x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 34x = 0 + 12 34x = 0 + 12 Combine like terms: 0 + 12 = 12 34x = 12 Divide each side by '34'. x = 0.3529411765 Simplifying x = 0.3529411765
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