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Simplifying 0.5x + -0.33333(x + -1) = 3x Reorder the terms: 0.5x + -0.33333(-1 + x) = 3x 0.5x + (-1 * -0.33333 + x * -0.33333) = 3x 0.5x + (0.33333 + -0.33333x) = 3x Reorder the terms: 0.33333 + 0.5x + -0.33333x = 3x Combine like terms: 0.5x + -0.33333x = 0.16667x 0.33333 + 0.16667x = 3x Solving 0.33333 + 0.16667x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 0.33333 + 0.16667x + -3x = 3x + -3x Combine like terms: 0.16667x + -3x = -2.83333x 0.33333 + -2.83333x = 3x + -3x Combine like terms: 3x + -3x = 0 0.33333 + -2.83333x = 0 Add '-0.33333' to each side of the equation. 0.33333 + -0.33333 + -2.83333x = 0 + -0.33333 Combine like terms: 0.33333 + -0.33333 = 0.00000 0.00000 + -2.83333x = 0 + -0.33333 -2.83333x = 0 + -0.33333 Combine like terms: 0 + -0.33333 = -0.33333 -2.83333x = -0.33333 Divide each side by '-2.83333'. x = 0.1176460208 Simplifying x = 0.1176460208
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