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Simplifying 0.5(0.25x + -0.333) = x + -0.5 Reorder the terms: 0.5(-0.333 + 0.25x) = x + -0.5 (-0.333 * 0.5 + 0.25x * 0.5) = x + -0.5 (-0.1665 + 0.125x) = x + -0.5 Reorder the terms: -0.1665 + 0.125x = -0.5 + x Solving -0.1665 + 0.125x = -0.5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -0.1665 + 0.125x + -1x = -0.5 + x + -1x Combine like terms: 0.125x + -1x = -0.875x -0.1665 + -0.875x = -0.5 + x + -1x Combine like terms: x + -1x = 0 -0.1665 + -0.875x = -0.5 + 0 -0.1665 + -0.875x = -0.5 Add '0.1665' to each side of the equation. -0.1665 + 0.1665 + -0.875x = -0.5 + 0.1665 Combine like terms: -0.1665 + 0.1665 = 0.0000 0.0000 + -0.875x = -0.5 + 0.1665 -0.875x = -0.5 + 0.1665 Combine like terms: -0.5 + 0.1665 = -0.3335 -0.875x = -0.3335 Divide each side by '-0.875'. x = 0.3811428571 Simplifying x = 0.3811428571
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