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Simplifying 2(5x + 8) + -4(x + 5) = 0 Reorder the terms: 2(8 + 5x) + -4(x + 5) = 0 (8 * 2 + 5x * 2) + -4(x + 5) = 0 (16 + 10x) + -4(x + 5) = 0 Reorder the terms: 16 + 10x + -4(5 + x) = 0 16 + 10x + (5 * -4 + x * -4) = 0 16 + 10x + (-20 + -4x) = 0 Reorder the terms: 16 + -20 + 10x + -4x = 0 Combine like terms: 16 + -20 = -4 -4 + 10x + -4x = 0 Combine like terms: 10x + -4x = 6x -4 + 6x = 0 Solving -4 + 6x = 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 + 6x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 0 + 4 6x = 0 + 4 Combine like terms: 0 + 4 = 4 6x = 4 Divide each side by '6'. x = 0.6666666667 Simplifying x = 0.6666666667
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