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Simplifying 0.40(5x + -25) + 0.50(4x + 2) = 0 Reorder the terms: 0.40(-25 + 5x) + 0.50(4x + 2) = 0 (-25 * 0.40 + 5x * 0.40) + 0.50(4x + 2) = 0 (-10 + 2x) + 0.50(4x + 2) = 0 Reorder the terms: -10 + 2x + 0.50(2 + 4x) = 0 -10 + 2x + (2 * 0.50 + 4x * 0.50) = 0 -10 + 2x + (1 + 2x) = 0 Reorder the terms: -10 + 1 + 2x + 2x = 0 Combine like terms: -10 + 1 = -9 -9 + 2x + 2x = 0 Combine like terms: 2x + 2x = 4x -9 + 4x = 0 Solving -9 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 4x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = 0 + 9 4x = 0 + 9 Combine like terms: 0 + 9 = 9 4x = 9 Divide each side by '4'. x = 2.25 Simplifying x = 2.25
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