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Simplifying 0.7x + 1.9 + 0.1 = 5.5 + -0.4x Reorder the terms: 1.9 + 0.1 + 0.7x = 5.5 + -0.4x Combine like terms: 1.9 + 0.1 = 2 2 + 0.7x = 5.5 + -0.4x Solving 2 + 0.7x = 5.5 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. 2 + 0.7x + 0.4x = 5.5 + -0.4x + 0.4x Combine like terms: 0.7x + 0.4x = 1.1x 2 + 1.1x = 5.5 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 2 + 1.1x = 5.5 + 0.0 2 + 1.1x = 5.5 Add '-2' to each side of the equation. 2 + -2 + 1.1x = 5.5 + -2 Combine like terms: 2 + -2 = 0 0 + 1.1x = 5.5 + -2 1.1x = 5.5 + -2 Combine like terms: 5.5 + -2 = 3.5 1.1x = 3.5 Divide each side by '1.1'. x = 3.181818182 Simplifying x = 3.181818182
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