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Simplifying 0.6x + -2.6 = 4.2x + 2.4 Reorder the terms: -2.6 + 0.6x = 4.2x + 2.4 Reorder the terms: -2.6 + 0.6x = 2.4 + 4.2x Solving -2.6 + 0.6x = 2.4 + 4.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.2x' to each side of the equation. -2.6 + 0.6x + -4.2x = 2.4 + 4.2x + -4.2x Combine like terms: 0.6x + -4.2x = -3.6x -2.6 + -3.6x = 2.4 + 4.2x + -4.2x Combine like terms: 4.2x + -4.2x = 0.0 -2.6 + -3.6x = 2.4 + 0.0 -2.6 + -3.6x = 2.4 Add '2.6' to each side of the equation. -2.6 + 2.6 + -3.6x = 2.4 + 2.6 Combine like terms: -2.6 + 2.6 = 0.0 0.0 + -3.6x = 2.4 + 2.6 -3.6x = 2.4 + 2.6 Combine like terms: 2.4 + 2.6 = 5 -3.6x = 5 Divide each side by '-3.6'. x = -1.388888889 Simplifying x = -1.388888889
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