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Simplifying 0.375x + -0.33x + 6 = 0.17x Reorder the terms: 6 + 0.375x + -0.33x = 0.17x Combine like terms: 0.375x + -0.33x = 0.045x 6 + 0.045x = 0.17x Solving 6 + 0.045x = 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 + 0.045x + -0.17x = 0.17x + -0.17x Combine like terms: 0.045x + -0.17x = -0.125x 6 + -0.125x = 0.17x + -0.17x Combine like terms: 0.17x + -0.17x = 0.00 6 + -0.125x = 0.00 Add '-6' to each side of the equation. 6 + -6 + -0.125x = 0.00 + -6 Combine like terms: 6 + -6 = 0 0 + -0.125x = 0.00 + -6 -0.125x = 0.00 + -6 Combine like terms: 0.00 + -6 = -6 -0.125x = -6 Divide each side by '-0.125'. x = 48 Simplifying x = 48
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