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Simplifying 0.4(4x + -1) + 0.25(5x + -2) = -1 Reorder the terms: 0.4(-1 + 4x) + 0.25(5x + -2) = -1 (-1 * 0.4 + 4x * 0.4) + 0.25(5x + -2) = -1 (-0.4 + 1.6x) + 0.25(5x + -2) = -1 Reorder the terms: -0.4 + 1.6x + 0.25(-2 + 5x) = -1 -0.4 + 1.6x + (-2 * 0.25 + 5x * 0.25) = -1 -0.4 + 1.6x + (-0.5 + 1.25x) = -1 Reorder the terms: -0.4 + -0.5 + 1.6x + 1.25x = -1 Combine like terms: -0.4 + -0.5 = -0.9 -0.9 + 1.6x + 1.25x = -1 Combine like terms: 1.6x + 1.25x = 2.85x -0.9 + 2.85x = -1 Solving -0.9 + 2.85x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9' to each side of the equation. -0.9 + 0.9 + 2.85x = -1 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 2.85x = -1 + 0.9 2.85x = -1 + 0.9 Combine like terms: -1 + 0.9 = -0.1 2.85x = -0.1 Divide each side by '2.85'. x = -0.0350877193 Simplifying x = -0.0350877193
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