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Simplifying 0.4x + -2 = 4 + -0.5x Reorder the terms: -2 + 0.4x = 4 + -0.5x Solving -2 + 0.4x = 4 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. -2 + 0.4x + 0.5x = 4 + -0.5x + 0.5x Combine like terms: 0.4x + 0.5x = 0.9x -2 + 0.9x = 4 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -2 + 0.9x = 4 + 0.0 -2 + 0.9x = 4 Add '2' to each side of the equation. -2 + 2 + 0.9x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 0.9x = 4 + 2 0.9x = 4 + 2 Combine like terms: 4 + 2 = 6 0.9x = 6 Divide each side by '0.9'. x = 6.666666667 Simplifying x = 6.666666667
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