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Simplifying 1.1 + 0.1x = 0.4x + -6.1 Reorder the terms: 1.1 + 0.1x = -6.1 + 0.4x Solving 1.1 + 0.1x = -6.1 + 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. 1.1 + 0.1x + -0.4x = -6.1 + 0.4x + -0.4x Combine like terms: 0.1x + -0.4x = -0.3x 1.1 + -0.3x = -6.1 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 1.1 + -0.3x = -6.1 + 0.0 1.1 + -0.3x = -6.1 Add '-1.1' to each side of the equation. 1.1 + -1.1 + -0.3x = -6.1 + -1.1 Combine like terms: 1.1 + -1.1 = 0.0 0.0 + -0.3x = -6.1 + -1.1 -0.3x = -6.1 + -1.1 Combine like terms: -6.1 + -1.1 = -7.2 -0.3x = -7.2 Divide each side by '-0.3'. x = 24 Simplifying x = 24
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