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Simplifying -0.2 + -0.02 + -0.02x = 0.4(1 + -1x) + -0.012 Combine like terms: -0.2 + -0.02 = -0.22 -0.22 + -0.02x = 0.4(1 + -1x) + -0.012 -0.22 + -0.02x = (1 * 0.4 + -1x * 0.4) + -0.012 -0.22 + -0.02x = (0.4 + -0.4x) + -0.012 Reorder the terms: -0.22 + -0.02x = 0.4 + -0.012 + -0.4x Combine like terms: 0.4 + -0.012 = 0.388 -0.22 + -0.02x = 0.388 + -0.4x Solving -0.22 + -0.02x = 0.388 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. -0.22 + -0.02x + 0.4x = 0.388 + -0.4x + 0.4x Combine like terms: -0.02x + 0.4x = 0.38x -0.22 + 0.38x = 0.388 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -0.22 + 0.38x = 0.388 + 0.0 -0.22 + 0.38x = 0.388 Add '0.22' to each side of the equation. -0.22 + 0.22 + 0.38x = 0.388 + 0.22 Combine like terms: -0.22 + 0.22 = 0.00 0.00 + 0.38x = 0.388 + 0.22 0.38x = 0.388 + 0.22 Combine like terms: 0.388 + 0.22 = 0.608 0.38x = 0.608 Divide each side by '0.38'. x = 1.6 Simplifying x = 1.6
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