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Simplifying 0.2x + -0.2(6 + -1x) = 1.4 0.2x + (6 * -0.2 + -1x * -0.2) = 1.4 0.2x + (-1.2 + 0.2x) = 1.4 Reorder the terms: -1.2 + 0.2x + 0.2x = 1.4 Combine like terms: 0.2x + 0.2x = 0.4x -1.2 + 0.4x = 1.4 Solving -1.2 + 0.4x = 1.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.4x = 1.4 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.4x = 1.4 + 1.2 0.4x = 1.4 + 1.2 Combine like terms: 1.4 + 1.2 = 2.6 0.4x = 2.6 Divide each side by '0.4'. x = 6.5 Simplifying x = 6.5
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