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Simplifying 0.5x + 0.666y + -2.75 = 0.333y + -4.5 + -0.375x Reorder the terms: -2.75 + 0.5x + 0.666y = 0.333y + -4.5 + -0.375x Reorder the terms: -2.75 + 0.5x + 0.666y = -4.5 + -0.375x + 0.333y Solving -2.75 + 0.5x + 0.666y = -4.5 + -0.375x + 0.333y 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. -2.75 + 0.5x + 0.375x + 0.666y = -4.5 + -0.375x + 0.375x + 0.333y Combine like terms: 0.5x + 0.375x = 0.875x -2.75 + 0.875x + 0.666y = -4.5 + -0.375x + 0.375x + 0.333y Combine like terms: -0.375x + 0.375x = 0.000 -2.75 + 0.875x + 0.666y = -4.5 + 0.000 + 0.333y -2.75 + 0.875x + 0.666y = -4.5 + 0.333y Add '2.75' to each side of the equation. -2.75 + 0.875x + 2.75 + 0.666y = -4.5 + 2.75 + 0.333y Reorder the terms: -2.75 + 2.75 + 0.875x + 0.666y = -4.5 + 2.75 + 0.333y Combine like terms: -2.75 + 2.75 = 0.00 0.00 + 0.875x + 0.666y = -4.5 + 2.75 + 0.333y 0.875x + 0.666y = -4.5 + 2.75 + 0.333y Combine like terms: -4.5 + 2.75 = -1.75 0.875x + 0.666y = -1.75 + 0.333y Add '-0.666y' to each side of the equation. 0.875x + 0.666y + -0.666y = -1.75 + 0.333y + -0.666y Combine like terms: 0.666y + -0.666y = 0.000 0.875x + 0.000 = -1.75 + 0.333y + -0.666y 0.875x = -1.75 + 0.333y + -0.666y Combine like terms: 0.333y + -0.666y = -0.333y 0.875x = -1.75 + -0.333y Divide each side by '0.875'. x = -2 + -0.3805714286y Simplifying x = -2 + -0.3805714286y
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