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Simplifying 0.4x + 8 = 1.2x + -2 Reorder the terms: 8 + 0.4x = 1.2x + -2 Reorder the terms: 8 + 0.4x = -2 + 1.2x Solving 8 + 0.4x = -2 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. 8 + 0.4x + -1.2x = -2 + 1.2x + -1.2x Combine like terms: 0.4x + -1.2x = -0.8x 8 + -0.8x = -2 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 8 + -0.8x = -2 + 0.0 8 + -0.8x = -2 Add '-8' to each side of the equation. 8 + -8 + -0.8x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -0.8x = -2 + -8 -0.8x = -2 + -8 Combine like terms: -2 + -8 = -10 -0.8x = -10 Divide each side by '-0.8'. x = 12.5 Simplifying x = 12.5
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