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Simplifying 0.4x + 8 = 5.4x + -12 Reorder the terms: 8 + 0.4x = 5.4x + -12 Reorder the terms: 8 + 0.4x = -12 + 5.4x Solving 8 + 0.4x = -12 + 5.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.4x' to each side of the equation. 8 + 0.4x + -5.4x = -12 + 5.4x + -5.4x Combine like terms: 0.4x + -5.4x = -5x 8 + -5x = -12 + 5.4x + -5.4x Combine like terms: 5.4x + -5.4x = 0.0 8 + -5x = -12 + 0.0 8 + -5x = -12 Add '-8' to each side of the equation. 8 + -8 + -5x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = -12 + -8 -5x = -12 + -8 Combine like terms: -12 + -8 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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