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Simplifying 4(x + 2) + 5(2x + -6) = 0 Reorder the terms: 4(2 + x) + 5(2x + -6) = 0 (2 * 4 + x * 4) + 5(2x + -6) = 0 (8 + 4x) + 5(2x + -6) = 0 Reorder the terms: 8 + 4x + 5(-6 + 2x) = 0 8 + 4x + (-6 * 5 + 2x * 5) = 0 8 + 4x + (-30 + 10x) = 0 Reorder the terms: 8 + -30 + 4x + 10x = 0 Combine like terms: 8 + -30 = -22 -22 + 4x + 10x = 0 Combine like terms: 4x + 10x = 14x -22 + 14x = 0 Solving -22 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 14x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 14x = 0 + 22 14x = 0 + 22 Combine like terms: 0 + 22 = 22 14x = 22 Divide each side by '14'. x = 1.571428571 Simplifying x = 1.571428571
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