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Simplifying 5(-2x + 4) + 2(2x + 3) = 0 Reorder the terms: 5(4 + -2x) + 2(2x + 3) = 0 (4 * 5 + -2x * 5) + 2(2x + 3) = 0 (20 + -10x) + 2(2x + 3) = 0 Reorder the terms: 20 + -10x + 2(3 + 2x) = 0 20 + -10x + (3 * 2 + 2x * 2) = 0 20 + -10x + (6 + 4x) = 0 Reorder the terms: 20 + 6 + -10x + 4x = 0 Combine like terms: 20 + 6 = 26 26 + -10x + 4x = 0 Combine like terms: -10x + 4x = -6x 26 + -6x = 0 Solving 26 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -6x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -6x = 0 + -26 -6x = 0 + -26 Combine like terms: 0 + -26 = -26 -6x = -26 Divide each side by '-6'. x = 4.333333333 Simplifying x = 4.333333333
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