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Simplifying 5.6(x + -1) = -0.4x + 30.4 Reorder the terms: 5.6(-1 + x) = -0.4x + 30.4 (-1 * 5.6 + x * 5.6) = -0.4x + 30.4 (-5.6 + 5.6x) = -0.4x + 30.4 Reorder the terms: -5.6 + 5.6x = 30.4 + -0.4x Solving -5.6 + 5.6x = 30.4 + -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. -5.6 + 5.6x + 0.4x = 30.4 + -0.4x + 0.4x Combine like terms: 5.6x + 0.4x = 6x -5.6 + 6x = 30.4 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -5.6 + 6x = 30.4 + 0.0 -5.6 + 6x = 30.4 Add '5.6' to each side of the equation. -5.6 + 5.6 + 6x = 30.4 + 5.6 Combine like terms: -5.6 + 5.6 = 0.0 0.0 + 6x = 30.4 + 5.6 6x = 30.4 + 5.6 Combine like terms: 30.4 + 5.6 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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