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Simplifying 5.6(x + -4) = -0.4x + 13.6 Reorder the terms: 5.6(-4 + x) = -0.4x + 13.6 (-4 * 5.6 + x * 5.6) = -0.4x + 13.6 (-22.4 + 5.6x) = -0.4x + 13.6 Reorder the terms: -22.4 + 5.6x = 13.6 + -0.4x Solving -22.4 + 5.6x = 13.6 + -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. -22.4 + 5.6x + 0.4x = 13.6 + -0.4x + 0.4x Combine like terms: 5.6x + 0.4x = 6x -22.4 + 6x = 13.6 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -22.4 + 6x = 13.6 + 0.0 -22.4 + 6x = 13.6 Add '22.4' to each side of the equation. -22.4 + 22.4 + 6x = 13.6 + 22.4 Combine like terms: -22.4 + 22.4 = 0.0 0.0 + 6x = 13.6 + 22.4 6x = 13.6 + 22.4 Combine like terms: 13.6 + 22.4 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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