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Simplifying 3x + 4.1 = 4x + 0.5 Reorder the terms: 4.1 + 3x = 4x + 0.5 Reorder the terms: 4.1 + 3x = 0.5 + 4x Solving 4.1 + 3x = 0.5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4.1 + 3x + -4x = 0.5 + 4x + -4x Combine like terms: 3x + -4x = -1x 4.1 + -1x = 0.5 + 4x + -4x Combine like terms: 4x + -4x = 0 4.1 + -1x = 0.5 + 0 4.1 + -1x = 0.5 Add '-4.1' to each side of the equation. 4.1 + -4.1 + -1x = 0.5 + -4.1 Combine like terms: 4.1 + -4.1 = 0.0 0.0 + -1x = 0.5 + -4.1 -1x = 0.5 + -4.1 Combine like terms: 0.5 + -4.1 = -3.6 -1x = -3.6 Divide each side by '-1'. x = 3.6 Simplifying x = 3.6
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