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Simplifying 0.2x + -1.8 + 0.2x = 0.6 + -0.2x + 1.2 Reorder the terms: -1.8 + 0.2x + 0.2x = 0.6 + -0.2x + 1.2 Combine like terms: 0.2x + 0.2x = 0.4x -1.8 + 0.4x = 0.6 + -0.2x + 1.2 Reorder the terms: -1.8 + 0.4x = 0.6 + 1.2 + -0.2x Combine like terms: 0.6 + 1.2 = 1.8 -1.8 + 0.4x = 1.8 + -0.2x Solving -1.8 + 0.4x = 1.8 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. -1.8 + 0.4x + 0.2x = 1.8 + -0.2x + 0.2x Combine like terms: 0.4x + 0.2x = 0.6x -1.8 + 0.6x = 1.8 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -1.8 + 0.6x = 1.8 + 0.0 -1.8 + 0.6x = 1.8 Add '1.8' to each side of the equation. -1.8 + 1.8 + 0.6x = 1.8 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 0.6x = 1.8 + 1.8 0.6x = 1.8 + 1.8 Combine like terms: 1.8 + 1.8 = 3.6 0.6x = 3.6 Divide each side by '0.6'. x = 6 Simplifying x = 6
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