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Simplifying 0.7x + 1.9 + 0.1x = 5.5 + -0.4x Reorder the terms: 1.9 + 0.7x + 0.1x = 5.5 + -0.4x Combine like terms: 0.7x + 0.1x = 0.8x 1.9 + 0.8x = 5.5 + -0.4x Solving 1.9 + 0.8x = 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. 1.9 + 0.8x + 0.4x = 5.5 + -0.4x + 0.4x Combine like terms: 0.8x + 0.4x = 1.2x 1.9 + 1.2x = 5.5 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 1.9 + 1.2x = 5.5 + 0.0 1.9 + 1.2x = 5.5 Add '-1.9' to each side of the equation. 1.9 + -1.9 + 1.2x = 5.5 + -1.9 Combine like terms: 1.9 + -1.9 = 0.0 0.0 + 1.2x = 5.5 + -1.9 1.2x = 5.5 + -1.9 Combine like terms: 5.5 + -1.9 = 3.6 1.2x = 3.6 Divide each side by '1.2'. x = 3 Simplifying x = 3
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