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Simplifying 3.9857x + -0.9867 = 12.578x + 0.98457 Reorder the terms: -0.9867 + 3.9857x = 12.578x + 0.98457 Reorder the terms: -0.9867 + 3.9857x = 0.98457 + 12.578x Solving -0.9867 + 3.9857x = 0.98457 + 12.578x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.578x' to each side of the equation. -0.9867 + 3.9857x + -12.578x = 0.98457 + 12.578x + -12.578x Combine like terms: 3.9857x + -12.578x = -8.5923x -0.9867 + -8.5923x = 0.98457 + 12.578x + -12.578x Combine like terms: 12.578x + -12.578x = 0.000 -0.9867 + -8.5923x = 0.98457 + 0.000 -0.9867 + -8.5923x = 0.98457 Add '0.9867' to each side of the equation. -0.9867 + 0.9867 + -8.5923x = 0.98457 + 0.9867 Combine like terms: -0.9867 + 0.9867 = 0.0000 0.0000 + -8.5923x = 0.98457 + 0.9867 -8.5923x = 0.98457 + 0.9867 Combine like terms: 0.98457 + 0.9867 = 1.97127 -8.5923x = 1.97127 Divide each side by '-8.5923'. x = -0.2294228553 Simplifying x = -0.2294228553
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