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Simplifying 3x + 0.54 = 0.83 + -0.83x + -0.333333 Reorder the terms: 0.54 + 3x = 0.83 + -0.83x + -0.333333 Reorder the terms: 0.54 + 3x = 0.83 + -0.333333 + -0.83x Combine like terms: 0.83 + -0.333333 = 0.496667 0.54 + 3x = 0.496667 + -0.83x Solving 0.54 + 3x = 0.496667 + -0.83x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.83x' to each side of the equation. 0.54 + 3x + 0.83x = 0.496667 + -0.83x + 0.83x Combine like terms: 3x + 0.83x = 3.83x 0.54 + 3.83x = 0.496667 + -0.83x + 0.83x Combine like terms: -0.83x + 0.83x = 0.00 0.54 + 3.83x = 0.496667 + 0.00 0.54 + 3.83x = 0.496667 Add '-0.54' to each side of the equation. 0.54 + -0.54 + 3.83x = 0.496667 + -0.54 Combine like terms: 0.54 + -0.54 = 0.00 0.00 + 3.83x = 0.496667 + -0.54 3.83x = 0.496667 + -0.54 Combine like terms: 0.496667 + -0.54 = -0.043333 3.83x = -0.043333 Divide each side by '3.83'. x = -0.01131409922 Simplifying x = -0.01131409922
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