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Simplifying 0.1 = 3x + 78 Reorder the terms: 0.1 = 78 + 3x Solving 0.1 = 78 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 0.1 + -3x = 78 + 3x + -3x Combine like terms: 3x + -3x = 0 0.1 + -3x = 78 + 0 0.1 + -3x = 78 Add '-0.1' to each side of the equation. 0.1 + -0.1 + -3x = 78 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -3x = 78 + -0.1 -3x = 78 + -0.1 Combine like terms: 78 + -0.1 = 77.9 -3x = 77.9 Divide each side by '-3'. x = -25.96666667 Simplifying x = -25.96666667
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