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Simplifying 0.3333x + -0.75 = 0.83333x + 0.5 Reorder the terms: -0.75 + 0.3333x = 0.83333x + 0.5 Reorder the terms: -0.75 + 0.3333x = 0.5 + 0.83333x Solving -0.75 + 0.3333x = 0.5 + 0.83333x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.83333x' to each side of the equation. -0.75 + 0.3333x + -0.83333x = 0.5 + 0.83333x + -0.83333x Combine like terms: 0.3333x + -0.83333x = -0.50003x -0.75 + -0.50003x = 0.5 + 0.83333x + -0.83333x Combine like terms: 0.83333x + -0.83333x = 0.00000 -0.75 + -0.50003x = 0.5 + 0.00000 -0.75 + -0.50003x = 0.5 Add '0.75' to each side of the equation. -0.75 + 0.75 + -0.50003x = 0.5 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + -0.50003x = 0.5 + 0.75 -0.50003x = 0.5 + 0.75 Combine like terms: 0.5 + 0.75 = 1.25 -0.50003x = 1.25 Divide each side by '-0.50003'. x = -2.499850009 Simplifying x = -2.499850009
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