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Simplifying 4(3x + 5) + 2(7x + -3) = 0 Reorder the terms: 4(5 + 3x) + 2(7x + -3) = 0 (5 * 4 + 3x * 4) + 2(7x + -3) = 0 (20 + 12x) + 2(7x + -3) = 0 Reorder the terms: 20 + 12x + 2(-3 + 7x) = 0 20 + 12x + (-3 * 2 + 7x * 2) = 0 20 + 12x + (-6 + 14x) = 0 Reorder the terms: 20 + -6 + 12x + 14x = 0 Combine like terms: 20 + -6 = 14 14 + 12x + 14x = 0 Combine like terms: 12x + 14x = 26x 14 + 26x = 0 Solving 14 + 26x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 26x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 26x = 0 + -14 26x = 0 + -14 Combine like terms: 0 + -14 = -14 26x = -14 Divide each side by '26'. x = -0.5384615385 Simplifying x = -0.5384615385
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