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Simplifying 0.2 + 1.2x = -0.2 + 0.8x Solving 0.2 + 1.2x = -0.2 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 0.2 + 1.2x + -0.8x = -0.2 + 0.8x + -0.8x Combine like terms: 1.2x + -0.8x = 0.4x 0.2 + 0.4x = -0.2 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 0.2 + 0.4x = -0.2 + 0.0 0.2 + 0.4x = -0.2 Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.4x = -0.2 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.4x = -0.2 + -0.2 0.4x = -0.2 + -0.2 Combine like terms: -0.2 + -0.2 = -0.4 0.4x = -0.4 Divide each side by '0.4'. x = -1 Simplifying x = -1
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