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Simplifying 0.4x + 12.1 = x + -7.82 Reorder the terms: 12.1 + 0.4x = x + -7.82 Reorder the terms: 12.1 + 0.4x = -7.82 + x Solving 12.1 + 0.4x = -7.82 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12.1 + 0.4x + -1x = -7.82 + x + -1x Combine like terms: 0.4x + -1x = -0.6x 12.1 + -0.6x = -7.82 + x + -1x Combine like terms: x + -1x = 0 12.1 + -0.6x = -7.82 + 0 12.1 + -0.6x = -7.82 Add '-12.1' to each side of the equation. 12.1 + -12.1 + -0.6x = -7.82 + -12.1 Combine like terms: 12.1 + -12.1 = 0.0 0.0 + -0.6x = -7.82 + -12.1 -0.6x = -7.82 + -12.1 Combine like terms: -7.82 + -12.1 = -19.92 -0.6x = -19.92 Divide each side by '-0.6'. x = 33.2 Simplifying x = 33.2
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