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Simplifying -0.25(x + -6) + -1(0.5x + 2) = 0 Reorder the terms: -0.25(-6 + x) + -1(0.5x + 2) = 0 (-6 * -0.25 + x * -0.25) + -1(0.5x + 2) = 0 (1.5 + -0.25x) + -1(0.5x + 2) = 0 Reorder the terms: 1.5 + -0.25x + -1(2 + 0.5x) = 0 1.5 + -0.25x + (2 * -1 + 0.5x * -1) = 0 1.5 + -0.25x + (-2 + -0.5x) = 0 Reorder the terms: 1.5 + -2 + -0.25x + -0.5x = 0 Combine like terms: 1.5 + -2 = -0.5 -0.5 + -0.25x + -0.5x = 0 Combine like terms: -0.25x + -0.5x = -0.75x -0.5 + -0.75x = 0 Solving -0.5 + -0.75x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + -0.75x = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -0.75x = 0 + 0.5 -0.75x = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 -0.75x = 0.5 Divide each side by '-0.75'. x = -0.6666666667 Simplifying x = -0.6666666667
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