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Simplifying 8.2x + 4 = 7.6x + 10 Reorder the terms: 4 + 8.2x = 7.6x + 10 Reorder the terms: 4 + 8.2x = 10 + 7.6x Solving 4 + 8.2x = 10 + 7.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.6x' to each side of the equation. 4 + 8.2x + -7.6x = 10 + 7.6x + -7.6x Combine like terms: 8.2x + -7.6x = 0.6x 4 + 0.6x = 10 + 7.6x + -7.6x Combine like terms: 7.6x + -7.6x = 0.0 4 + 0.6x = 10 + 0.0 4 + 0.6x = 10 Add '-4' to each side of the equation. 4 + -4 + 0.6x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 0.6x = 10 + -4 0.6x = 10 + -4 Combine like terms: 10 + -4 = 6 0.6x = 6 Divide each side by '0.6'. x = 10 Simplifying x = 10
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