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Simplifying 0.6x + 2 = 0.33x + 10 Reorder the terms: 2 + 0.6x = 0.33x + 10 Reorder the terms: 2 + 0.6x = 10 + 0.33x Solving 2 + 0.6x = 10 + 0.33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.33x' to each side of the equation. 2 + 0.6x + -0.33x = 10 + 0.33x + -0.33x Combine like terms: 0.6x + -0.33x = 0.27x 2 + 0.27x = 10 + 0.33x + -0.33x Combine like terms: 0.33x + -0.33x = 0.00 2 + 0.27x = 10 + 0.00 2 + 0.27x = 10 Add '-2' to each side of the equation. 2 + -2 + 0.27x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 0.27x = 10 + -2 0.27x = 10 + -2 Combine like terms: 10 + -2 = 8 0.27x = 8 Divide each side by '0.27'. x = 29.62962963 Simplifying x = 29.62962963
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