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Simplifying 4(2x + -5) + 2(5x + 8) = 0 Reorder the terms: 4(-5 + 2x) + 2(5x + 8) = 0 (-5 * 4 + 2x * 4) + 2(5x + 8) = 0 (-20 + 8x) + 2(5x + 8) = 0 Reorder the terms: -20 + 8x + 2(8 + 5x) = 0 -20 + 8x + (8 * 2 + 5x * 2) = 0 -20 + 8x + (16 + 10x) = 0 Reorder the terms: -20 + 16 + 8x + 10x = 0 Combine like terms: -20 + 16 = -4 -4 + 8x + 10x = 0 Combine like terms: 8x + 10x = 18x -4 + 18x = 0 Solving -4 + 18x = 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 + 18x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 18x = 0 + 4 18x = 0 + 4 Combine like terms: 0 + 4 = 4 18x = 4 Divide each side by '18'. x = 0.2222222222 Simplifying x = 0.2222222222
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