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Simplifying -0.4x + 3 = 0.2x + 11 Reorder the terms: 3 + -0.4x = 0.2x + 11 Reorder the terms: 3 + -0.4x = 11 + 0.2x Solving 3 + -0.4x = 11 + 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. 3 + -0.4x + -0.2x = 11 + 0.2x + -0.2x Combine like terms: -0.4x + -0.2x = -0.6x 3 + -0.6x = 11 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 3 + -0.6x = 11 + 0.0 3 + -0.6x = 11 Add '-3' to each side of the equation. 3 + -3 + -0.6x = 11 + -3 Combine like terms: 3 + -3 = 0 0 + -0.6x = 11 + -3 -0.6x = 11 + -3 Combine like terms: 11 + -3 = 8 -0.6x = 8 Divide each side by '-0.6'. x = -13.33333333 Simplifying x = -13.33333333
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