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Simplifying 4.6(x + -2) = -0.4x + 20.8 Reorder the terms: 4.6(-2 + x) = -0.4x + 20.8 (-2 * 4.6 + x * 4.6) = -0.4x + 20.8 (-9.2 + 4.6x) = -0.4x + 20.8 Reorder the terms: -9.2 + 4.6x = 20.8 + -0.4x Solving -9.2 + 4.6x = 20.8 + -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. -9.2 + 4.6x + 0.4x = 20.8 + -0.4x + 0.4x Combine like terms: 4.6x + 0.4x = 5x -9.2 + 5x = 20.8 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -9.2 + 5x = 20.8 + 0.0 -9.2 + 5x = 20.8 Add '9.2' to each side of the equation. -9.2 + 9.2 + 5x = 20.8 + 9.2 Combine like terms: -9.2 + 9.2 = 0.0 0.0 + 5x = 20.8 + 9.2 5x = 20.8 + 9.2 Combine like terms: 20.8 + 9.2 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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