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Simplifying 0.4x + 3 = 0.2x + -6 Reorder the terms: 3 + 0.4x = 0.2x + -6 Reorder the terms: 3 + 0.4x = -6 + 0.2x Solving 3 + 0.4x = -6 + 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 = -6 + 0.2x + -0.2x Combine like terms: 0.4x + -0.2x = 0.2x 3 + 0.2x = -6 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 3 + 0.2x = -6 + 0.0 3 + 0.2x = -6 Add '-3' to each side of the equation. 3 + -3 + 0.2x = -6 + -3 Combine like terms: 3 + -3 = 0 0 + 0.2x = -6 + -3 0.2x = -6 + -3 Combine like terms: -6 + -3 = -9 0.2x = -9 Divide each side by '0.2'. x = -45 Simplifying x = -45
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