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Simplifying 2(3x + 5) + 2(4x + -3) = 0 Reorder the terms: 2(5 + 3x) + 2(4x + -3) = 0 (5 * 2 + 3x * 2) + 2(4x + -3) = 0 (10 + 6x) + 2(4x + -3) = 0 Reorder the terms: 10 + 6x + 2(-3 + 4x) = 0 10 + 6x + (-3 * 2 + 4x * 2) = 0 10 + 6x + (-6 + 8x) = 0 Reorder the terms: 10 + -6 + 6x + 8x = 0 Combine like terms: 10 + -6 = 4 4 + 6x + 8x = 0 Combine like terms: 6x + 8x = 14x 4 + 14x = 0 Solving 4 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 14x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 14x = 0 + -4 14x = 0 + -4 Combine like terms: 0 + -4 = -4 14x = -4 Divide each side by '14'. x = -0.2857142857 Simplifying x = -0.2857142857
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