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Simplifying 5.8x + 2.6 = 2.2x + 11.6 Reorder the terms: 2.6 + 5.8x = 2.2x + 11.6 Reorder the terms: 2.6 + 5.8x = 11.6 + 2.2x Solving 2.6 + 5.8x = 11.6 + 2.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.2x' to each side of the equation. 2.6 + 5.8x + -2.2x = 11.6 + 2.2x + -2.2x Combine like terms: 5.8x + -2.2x = 3.6x 2.6 + 3.6x = 11.6 + 2.2x + -2.2x Combine like terms: 2.2x + -2.2x = 0.0 2.6 + 3.6x = 11.6 + 0.0 2.6 + 3.6x = 11.6 Add '-2.6' to each side of the equation. 2.6 + -2.6 + 3.6x = 11.6 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + 3.6x = 11.6 + -2.6 3.6x = 11.6 + -2.6 Combine like terms: 11.6 + -2.6 = 9 3.6x = 9 Divide each side by '3.6'. x = 2.5 Simplifying x = 2.5
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