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Simplifying 4(5x + 1) + 6(x + -3) = 0 Reorder the terms: 4(1 + 5x) + 6(x + -3) = 0 (1 * 4 + 5x * 4) + 6(x + -3) = 0 (4 + 20x) + 6(x + -3) = 0 Reorder the terms: 4 + 20x + 6(-3 + x) = 0 4 + 20x + (-3 * 6 + x * 6) = 0 4 + 20x + (-18 + 6x) = 0 Reorder the terms: 4 + -18 + 20x + 6x = 0 Combine like terms: 4 + -18 = -14 -14 + 20x + 6x = 0 Combine like terms: 20x + 6x = 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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