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Simplifying 4(2x + -1) + 5(2x + 5) = 0 Reorder the terms: 4(-1 + 2x) + 5(2x + 5) = 0 (-1 * 4 + 2x * 4) + 5(2x + 5) = 0 (-4 + 8x) + 5(2x + 5) = 0 Reorder the terms: -4 + 8x + 5(5 + 2x) = 0 -4 + 8x + (5 * 5 + 2x * 5) = 0 -4 + 8x + (25 + 10x) = 0 Reorder the terms: -4 + 25 + 8x + 10x = 0 Combine like terms: -4 + 25 = 21 21 + 8x + 10x = 0 Combine like terms: 8x + 10x = 18x 21 + 18x = 0 Solving 21 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 18x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 18x = 0 + -21 18x = 0 + -21 Combine like terms: 0 + -21 = -21 18x = -21 Divide each side by '18'. x = -1.166666667 Simplifying x = -1.166666667
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