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Simplifying 5.6(x + -2) = -0.4x + 24.8 Reorder the terms: 5.6(-2 + x) = -0.4x + 24.8 (-2 * 5.6 + x * 5.6) = -0.4x + 24.8 (-11.2 + 5.6x) = -0.4x + 24.8 Reorder the terms: -11.2 + 5.6x = 24.8 + -0.4x Solving -11.2 + 5.6x = 24.8 + -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. -11.2 + 5.6x + 0.4x = 24.8 + -0.4x + 0.4x Combine like terms: 5.6x + 0.4x = 6x -11.2 + 6x = 24.8 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -11.2 + 6x = 24.8 + 0.0 -11.2 + 6x = 24.8 Add '11.2' to each side of the equation. -11.2 + 11.2 + 6x = 24.8 + 11.2 Combine like terms: -11.2 + 11.2 = 0.0 0.0 + 6x = 24.8 + 11.2 6x = 24.8 + 11.2 Combine like terms: 24.8 + 11.2 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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