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Simplifying 0.4x + 2 = 1.2x + -6 Reorder the terms: 2 + 0.4x = 1.2x + -6 Reorder the terms: 2 + 0.4x = -6 + 1.2x Solving 2 + 0.4x = -6 + 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. 2 + 0.4x + -1.2x = -6 + 1.2x + -1.2x Combine like terms: 0.4x + -1.2x = -0.8x 2 + -0.8x = -6 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 2 + -0.8x = -6 + 0.0 2 + -0.8x = -6 Add '-2' to each side of the equation. 2 + -2 + -0.8x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -0.8x = -6 + -2 -0.8x = -6 + -2 Combine like terms: -6 + -2 = -8 -0.8x = -8 Divide each side by '-0.8'. x = 10 Simplifying x = 10
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