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Simplifying 0.25(5x + -4.2) + 0.75(4.4x + -1.25) = 0 Reorder the terms: 0.25(-4.2 + 5x) + 0.75(4.4x + -1.25) = 0 (-4.2 * 0.25 + 5x * 0.25) + 0.75(4.4x + -1.25) = 0 (-1.05 + 1.25x) + 0.75(4.4x + -1.25) = 0 Reorder the terms: -1.05 + 1.25x + 0.75(-1.25 + 4.4x) = 0 -1.05 + 1.25x + (-1.25 * 0.75 + 4.4x * 0.75) = 0 -1.05 + 1.25x + (-0.9375 + 3.3x) = 0 Reorder the terms: -1.05 + -0.9375 + 1.25x + 3.3x = 0 Combine like terms: -1.05 + -0.9375 = -1.9875 -1.9875 + 1.25x + 3.3x = 0 Combine like terms: 1.25x + 3.3x = 4.55x -1.9875 + 4.55x = 0 Solving -1.9875 + 4.55x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.9875' to each side of the equation. -1.9875 + 1.9875 + 4.55x = 0 + 1.9875 Combine like terms: -1.9875 + 1.9875 = 0.0000 0.0000 + 4.55x = 0 + 1.9875 4.55x = 0 + 1.9875 Combine like terms: 0 + 1.9875 = 1.9875 4.55x = 1.9875 Divide each side by '4.55'. x = 0.4368131868 Simplifying x = 0.4368131868
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