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Simplifying 0.1x + 2.5x = 9.1 + -1.9 + 2.4x Combine like terms: 0.1x + 2.5x = 2.6x 2.6x = 9.1 + -1.9 + 2.4x Combine like terms: 9.1 + -1.9 = 7.2 2.6x = 7.2 + 2.4x Solving 2.6x = 7.2 + 2.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.4x' to each side of the equation. 2.6x + -2.4x = 7.2 + 2.4x + -2.4x Combine like terms: 2.6x + -2.4x = 0.2x 0.2x = 7.2 + 2.4x + -2.4x Combine like terms: 2.4x + -2.4x = 0.0 0.2x = 7.2 + 0.0 0.2x = 7.2 Divide each side by '0.2'. x = 36 Simplifying x = 36
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