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Simplifying 0.38x + -0.33x + 6 = 0.17x Reorder the terms: 6 + 0.38x + -0.33x = 0.17x Combine like terms: 0.38x + -0.33x = 0.05x 6 + 0.05x = 0.17x Solving 6 + 0.05x = 0.17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.17x' to each side of the equation. 6 + 0.05x + -0.17x = 0.17x + -0.17x Combine like terms: 0.05x + -0.17x = -0.12x 6 + -0.12x = 0.17x + -0.17x Combine like terms: 0.17x + -0.17x = 0.00 6 + -0.12x = 0.00 Add '-6' to each side of the equation. 6 + -6 + -0.12x = 0.00 + -6 Combine like terms: 6 + -6 = 0 0 + -0.12x = 0.00 + -6 -0.12x = 0.00 + -6 Combine like terms: 0.00 + -6 = -6 -0.12x = -6 Divide each side by '-0.12'. x = 50 Simplifying x = 50
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