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Simplifying 4.6(x + -1) = -0.4x + 20.4 Reorder the terms: 4.6(-1 + x) = -0.4x + 20.4 (-1 * 4.6 + x * 4.6) = -0.4x + 20.4 (-4.6 + 4.6x) = -0.4x + 20.4 Reorder the terms: -4.6 + 4.6x = 20.4 + -0.4x Solving -4.6 + 4.6x = 20.4 + -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. -4.6 + 4.6x + 0.4x = 20.4 + -0.4x + 0.4x Combine like terms: 4.6x + 0.4x = 5x -4.6 + 5x = 20.4 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -4.6 + 5x = 20.4 + 0.0 -4.6 + 5x = 20.4 Add '4.6' to each side of the equation. -4.6 + 4.6 + 5x = 20.4 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + 5x = 20.4 + 4.6 5x = 20.4 + 4.6 Combine like terms: 20.4 + 4.6 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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