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Simplifying 0.75x + -0.333 = 2x + 0.5 Reorder the terms: -0.333 + 0.75x = 2x + 0.5 Reorder the terms: -0.333 + 0.75x = 0.5 + 2x Solving -0.333 + 0.75x = 0.5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -0.333 + 0.75x + -2x = 0.5 + 2x + -2x Combine like terms: 0.75x + -2x = -1.25x -0.333 + -1.25x = 0.5 + 2x + -2x Combine like terms: 2x + -2x = 0 -0.333 + -1.25x = 0.5 + 0 -0.333 + -1.25x = 0.5 Add '0.333' to each side of the equation. -0.333 + 0.333 + -1.25x = 0.5 + 0.333 Combine like terms: -0.333 + 0.333 = 0.000 0.000 + -1.25x = 0.5 + 0.333 -1.25x = 0.5 + 0.333 Combine like terms: 0.5 + 0.333 = 0.833 -1.25x = 0.833 Divide each side by '-1.25'. x = -0.6664 Simplifying x = -0.6664
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