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Simplifying 0.25(x + -0.8) + -0.2(5x + 0.5) = 3 Reorder the terms: 0.25(-0.8 + x) + -0.2(5x + 0.5) = 3 (-0.8 * 0.25 + x * 0.25) + -0.2(5x + 0.5) = 3 (-0.2 + 0.25x) + -0.2(5x + 0.5) = 3 Reorder the terms: -0.2 + 0.25x + -0.2(0.5 + 5x) = 3 -0.2 + 0.25x + (0.5 * -0.2 + 5x * -0.2) = 3 -0.2 + 0.25x + (-0.1 + -1x) = 3 Reorder the terms: -0.2 + -0.1 + 0.25x + -1x = 3 Combine like terms: -0.2 + -0.1 = -0.3 -0.3 + 0.25x + -1x = 3 Combine like terms: 0.25x + -1x = -0.75x -0.3 + -0.75x = 3 Solving -0.3 + -0.75x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3' to each side of the equation. -0.3 + 0.3 + -0.75x = 3 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + -0.75x = 3 + 0.3 -0.75x = 3 + 0.3 Combine like terms: 3 + 0.3 = 3.3 -0.75x = 3.3 Divide each side by '-0.75'. x = -4.4 Simplifying x = -4.4
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