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Simplifying 0.3333x + 5 = 0.16666(2x + -5) Reorder the terms: 5 + 0.3333x = 0.16666(2x + -5) Reorder the terms: 5 + 0.3333x = 0.16666(-5 + 2x) 5 + 0.3333x = (-5 * 0.16666 + 2x * 0.16666) 5 + 0.3333x = (-0.8333 + 0.33332x) Solving 5 + 0.3333x = -0.8333 + 0.33332x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.33332x' to each side of the equation. 5 + 0.3333x + -0.33332x = -0.8333 + 0.33332x + -0.33332x Combine like terms: 0.3333x + -0.33332x = -0.00002x 5 + -0.00002x = -0.8333 + 0.33332x + -0.33332x Combine like terms: 0.33332x + -0.33332x = 0.00000 5 + -0.00002x = -0.8333 + 0.00000 5 + -0.00002x = -0.8333 Add '-5' to each side of the equation. 5 + -5 + -0.00002x = -0.8333 + -5 Combine like terms: 5 + -5 = 0 0 + -0.00002x = -0.8333 + -5 -0.00002x = -0.8333 + -5 Combine like terms: -0.8333 + -5 = -5.8333 -0.00002x = -5.8333 Divide each side by '-0.00002'. x = 291665 Simplifying x = 291665
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