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Simplifying -0.2(1 + -1x) = 4(4 + 0.1x) (1 * -0.2 + -1x * -0.2) = 4(4 + 0.1x) (-0.2 + 0.2x) = 4(4 + 0.1x) -0.2 + 0.2x = (4 * 4 + 0.1x * 4) -0.2 + 0.2x = (16 + 0.4x) Solving -0.2 + 0.2x = 16 + 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. -0.2 + 0.2x + -0.4x = 16 + 0.4x + -0.4x Combine like terms: 0.2x + -0.4x = -0.2x -0.2 + -0.2x = 16 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -0.2 + -0.2x = 16 + 0.0 -0.2 + -0.2x = 16 Add '0.2' to each side of the equation. -0.2 + 0.2 + -0.2x = 16 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + -0.2x = 16 + 0.2 -0.2x = 16 + 0.2 Combine like terms: 16 + 0.2 = 16.2 -0.2x = 16.2 Divide each side by '-0.2'. x = -81 Simplifying x = -81
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