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Simplifying 3.4x + 3 + -1.3x = 11.4 Reorder the terms: 3 + 3.4x + -1.3x = 11.4 Combine like terms: 3.4x + -1.3x = 2.1x 3 + 2.1x = 11.4 Solving 3 + 2.1x = 11.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2.1x = 11.4 + -3 Combine like terms: 3 + -3 = 0 0 + 2.1x = 11.4 + -3 2.1x = 11.4 + -3 Combine like terms: 11.4 + -3 = 8.4 2.1x = 8.4 Divide each side by '2.1'. x = 4 Simplifying x = 4
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