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Simplifying 0.09x + -3.8 = 0.81x + 0.06 Reorder the terms: -3.8 + 0.09x = 0.81x + 0.06 Reorder the terms: -3.8 + 0.09x = 0.06 + 0.81x Solving -3.8 + 0.09x = 0.06 + 0.81x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.81x' to each side of the equation. -3.8 + 0.09x + -0.81x = 0.06 + 0.81x + -0.81x Combine like terms: 0.09x + -0.81x = -0.72x -3.8 + -0.72x = 0.06 + 0.81x + -0.81x Combine like terms: 0.81x + -0.81x = 0.00 -3.8 + -0.72x = 0.06 + 0.00 -3.8 + -0.72x = 0.06 Add '3.8' to each side of the equation. -3.8 + 3.8 + -0.72x = 0.06 + 3.8 Combine like terms: -3.8 + 3.8 = 0.0 0.0 + -0.72x = 0.06 + 3.8 -0.72x = 0.06 + 3.8 Combine like terms: 0.06 + 3.8 = 3.86 -0.72x = 3.86 Divide each side by '-0.72'. x = -5.361111111 Simplifying x = -5.361111111
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