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Simplifying 1.2x + 2.6 = 10.1 + -1.3x Reorder the terms: 2.6 + 1.2x = 10.1 + -1.3x Solving 2.6 + 1.2x = 10.1 + -1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.3x' to each side of the equation. 2.6 + 1.2x + 1.3x = 10.1 + -1.3x + 1.3x Combine like terms: 1.2x + 1.3x = 2.5x 2.6 + 2.5x = 10.1 + -1.3x + 1.3x Combine like terms: -1.3x + 1.3x = 0.0 2.6 + 2.5x = 10.1 + 0.0 2.6 + 2.5x = 10.1 Add '-2.6' to each side of the equation. 2.6 + -2.6 + 2.5x = 10.1 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + 2.5x = 10.1 + -2.6 2.5x = 10.1 + -2.6 Combine like terms: 10.1 + -2.6 = 7.5 2.5x = 7.5 Divide each side by '2.5'. x = 3 Simplifying x = 3
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