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Simplifying 0.4x + 8 = 5x + -1.2 Reorder the terms: 8 + 0.4x = 5x + -1.2 Reorder the terms: 8 + 0.4x = -1.2 + 5x Solving 8 + 0.4x = -1.2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + 0.4x + -5x = -1.2 + 5x + -5x Combine like terms: 0.4x + -5x = -4.6x 8 + -4.6x = -1.2 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -4.6x = -1.2 + 0 8 + -4.6x = -1.2 Add '-8' to each side of the equation. 8 + -8 + -4.6x = -1.2 + -8 Combine like terms: 8 + -8 = 0 0 + -4.6x = -1.2 + -8 -4.6x = -1.2 + -8 Combine like terms: -1.2 + -8 = -9.2 -4.6x = -9.2 Divide each side by '-4.6'. x = 2 Simplifying x = 2
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