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Simplifying -0.5(x + 9) + 5.75x = 0.375x Reorder the terms: -0.5(9 + x) + 5.75x = 0.375x (9 * -0.5 + x * -0.5) + 5.75x = 0.375x (-4.5 + -0.5x) + 5.75x = 0.375x Combine like terms: -0.5x + 5.75x = 5.25x -4.5 + 5.25x = 0.375x Solving -4.5 + 5.25x = 0.375x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.375x' to each side of the equation. -4.5 + 5.25x + -0.375x = 0.375x + -0.375x Combine like terms: 5.25x + -0.375x = 4.875x -4.5 + 4.875x = 0.375x + -0.375x Combine like terms: 0.375x + -0.375x = 0.000 -4.5 + 4.875x = 0.000 Add '4.5' to each side of the equation. -4.5 + 4.5 + 4.875x = 0.000 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 4.875x = 0.000 + 4.5 4.875x = 0.000 + 4.5 Combine like terms: 0.000 + 4.5 = 4.5 4.875x = 4.5 Divide each side by '4.875'. x = 0.9230769231 Simplifying x = 0.9230769231
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