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Simplifying 2(5x + 3) + 5(x + -4) = 0 Reorder the terms: 2(3 + 5x) + 5(x + -4) = 0 (3 * 2 + 5x * 2) + 5(x + -4) = 0 (6 + 10x) + 5(x + -4) = 0 Reorder the terms: 6 + 10x + 5(-4 + x) = 0 6 + 10x + (-4 * 5 + x * 5) = 0 6 + 10x + (-20 + 5x) = 0 Reorder the terms: 6 + -20 + 10x + 5x = 0 Combine like terms: 6 + -20 = -14 -14 + 10x + 5x = 0 Combine like terms: 10x + 5x = 15x -14 + 15x = 0 Solving -14 + 15x = 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 + 15x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 15x = 0 + 14 15x = 0 + 14 Combine like terms: 0 + 14 = 14 15x = 14 Divide each side by '15'. x = 0.9333333333 Simplifying x = 0.9333333333
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