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Simplifying 3.5x + 0.4 = 8.5x + 5.4 Reorder the terms: 0.4 + 3.5x = 8.5x + 5.4 Reorder the terms: 0.4 + 3.5x = 5.4 + 8.5x Solving 0.4 + 3.5x = 5.4 + 8.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.5x' to each side of the equation. 0.4 + 3.5x + -8.5x = 5.4 + 8.5x + -8.5x Combine like terms: 3.5x + -8.5x = -5x 0.4 + -5x = 5.4 + 8.5x + -8.5x Combine like terms: 8.5x + -8.5x = 0.0 0.4 + -5x = 5.4 + 0.0 0.4 + -5x = 5.4 Add '-0.4' to each side of the equation. 0.4 + -0.4 + -5x = 5.4 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -5x = 5.4 + -0.4 -5x = 5.4 + -0.4 Combine like terms: 5.4 + -0.4 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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