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Simplifying 12.1x + 7 = 4x + 2 + 0.1x Reorder the terms: 7 + 12.1x = 4x + 2 + 0.1x Reorder the terms: 7 + 12.1x = 2 + 4x + 0.1x Combine like terms: 4x + 0.1x = 4.1x 7 + 12.1x = 2 + 4.1x Solving 7 + 12.1x = 2 + 4.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.1x' to each side of the equation. 7 + 12.1x + -4.1x = 2 + 4.1x + -4.1x Combine like terms: 12.1x + -4.1x = 8x 7 + 8x = 2 + 4.1x + -4.1x Combine like terms: 4.1x + -4.1x = 0.0 7 + 8x = 2 + 0.0 7 + 8x = 2 Add '-7' to each side of the equation. 7 + -7 + 8x = 2 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 2 + -7 8x = 2 + -7 Combine like terms: 2 + -7 = -5 8x = -5 Divide each side by '8'. x = -0.625 Simplifying x = -0.625
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