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Simplifying 4.1x + -65 = 2.1x + 5 Reorder the terms: -65 + 4.1x = 2.1x + 5 Reorder the terms: -65 + 4.1x = 5 + 2.1x Solving -65 + 4.1x = 5 + 2.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.1x' to each side of the equation. -65 + 4.1x + -2.1x = 5 + 2.1x + -2.1x Combine like terms: 4.1x + -2.1x = 2x -65 + 2x = 5 + 2.1x + -2.1x Combine like terms: 2.1x + -2.1x = 0.0 -65 + 2x = 5 + 0.0 -65 + 2x = 5 Add '65' to each side of the equation. -65 + 65 + 2x = 5 + 65 Combine like terms: -65 + 65 = 0 0 + 2x = 5 + 65 2x = 5 + 65 Combine like terms: 5 + 65 = 70 2x = 70 Divide each side by '2'. x = 35 Simplifying x = 35
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