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Simplifying 4.6x + 82 = 7.1x + 2 Reorder the terms: 82 + 4.6x = 7.1x + 2 Reorder the terms: 82 + 4.6x = 2 + 7.1x Solving 82 + 4.6x = 2 + 7.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.1x' to each side of the equation. 82 + 4.6x + -7.1x = 2 + 7.1x + -7.1x Combine like terms: 4.6x + -7.1x = -2.5x 82 + -2.5x = 2 + 7.1x + -7.1x Combine like terms: 7.1x + -7.1x = 0.0 82 + -2.5x = 2 + 0.0 82 + -2.5x = 2 Add '-82' to each side of the equation. 82 + -82 + -2.5x = 2 + -82 Combine like terms: 82 + -82 = 0 0 + -2.5x = 2 + -82 -2.5x = 2 + -82 Combine like terms: 2 + -82 = -80 -2.5x = -80 Divide each side by '-2.5'. x = 32 Simplifying x = 32
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