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Simplifying 2.4(x + -6) = 5.6x Reorder the terms: 2.4(-6 + x) = 5.6x (-6 * 2.4 + x * 2.4) = 5.6x (-14.4 + 2.4x) = 5.6x Solving -14.4 + 2.4x = 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 = 5.6x + -5.6x Combine like terms: 2.4x + -5.6x = -3.2x -14.4 + -3.2x = 5.6x + -5.6x Combine like terms: 5.6x + -5.6x = 0.0 -14.4 + -3.2x = 0.0 Add '14.4' to each side of the equation. -14.4 + 14.4 + -3.2x = 0.0 + 14.4 Combine like terms: -14.4 + 14.4 = 0.0 0.0 + -3.2x = 0.0 + 14.4 -3.2x = 0.0 + 14.4 Combine like terms: 0.0 + 14.4 = 14.4 -3.2x = 14.4 Divide each side by '-3.2'. x = -4.5 Simplifying x = -4.5
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