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Simplifying 2.4(x + -6) = -5.6x + 8 Reorder the terms: 2.4(-6 + x) = -5.6x + 8 (-6 * 2.4 + x * 2.4) = -5.6x + 8 (-14.4 + 2.4x) = -5.6x + 8 Reorder the terms: -14.4 + 2.4x = 8 + -5.6x Solving -14.4 + 2.4x = 8 + -5.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.6x' to each side of the equation. -14.4 + 2.4x + 5.6x = 8 + -5.6x + 5.6x Combine like terms: 2.4x + 5.6x = 8x -14.4 + 8x = 8 + -5.6x + 5.6x Combine like terms: -5.6x + 5.6x = 0.0 -14.4 + 8x = 8 + 0.0 -14.4 + 8x = 8 Add '14.4' to each side of the equation. -14.4 + 14.4 + 8x = 8 + 14.4 Combine like terms: -14.4 + 14.4 = 0.0 0.0 + 8x = 8 + 14.4 8x = 8 + 14.4 Combine like terms: 8 + 14.4 = 22.4 8x = 22.4 Divide each side by '8'. x = 2.8 Simplifying x = 2.8
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