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Simplifying 1.667x + 0.5 = -0.1667x + 4 Reorder the terms: 0.5 + 1.667x = -0.1667x + 4 Reorder the terms: 0.5 + 1.667x = 4 + -0.1667x Solving 0.5 + 1.667x = 4 + -0.1667x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1667x' to each side of the equation. 0.5 + 1.667x + 0.1667x = 4 + -0.1667x + 0.1667x Combine like terms: 1.667x + 0.1667x = 1.8337x 0.5 + 1.8337x = 4 + -0.1667x + 0.1667x Combine like terms: -0.1667x + 0.1667x = 0.0000 0.5 + 1.8337x = 4 + 0.0000 0.5 + 1.8337x = 4 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 1.8337x = 4 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 1.8337x = 4 + -0.5 1.8337x = 4 + -0.5 Combine like terms: 4 + -0.5 = 3.5 1.8337x = 3.5 Divide each side by '1.8337'. x = 1.908709167 Simplifying x = 1.908709167
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