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Simplifying x + 0.2(x + -0.2) = 2 Reorder the terms: x + 0.2(-0.2 + x) = 2 x + (-0.2 * 0.2 + x * 0.2) = 2 x + (-0.04 + 0.2x) = 2 Reorder the terms: -0.04 + x + 0.2x = 2 Combine like terms: x + 0.2x = 1.2x -0.04 + 1.2x = 2 Solving -0.04 + 1.2x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.04' to each side of the equation. -0.04 + 0.04 + 1.2x = 2 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + 1.2x = 2 + 0.04 1.2x = 2 + 0.04 Combine like terms: 2 + 0.04 = 2.04 1.2x = 2.04 Divide each side by '1.2'. x = 1.7 Simplifying x = 1.7
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