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Simplifying 2.1x + 21.4 = 53.5 + -8.6x Reorder the terms: 21.4 + 2.1x = 53.5 + -8.6x Solving 21.4 + 2.1x = 53.5 + -8.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8.6x' to each side of the equation. 21.4 + 2.1x + 8.6x = 53.5 + -8.6x + 8.6x Combine like terms: 2.1x + 8.6x = 10.7x 21.4 + 10.7x = 53.5 + -8.6x + 8.6x Combine like terms: -8.6x + 8.6x = 0.0 21.4 + 10.7x = 53.5 + 0.0 21.4 + 10.7x = 53.5 Add '-21.4' to each side of the equation. 21.4 + -21.4 + 10.7x = 53.5 + -21.4 Combine like terms: 21.4 + -21.4 = 0.0 0.0 + 10.7x = 53.5 + -21.4 10.7x = 53.5 + -21.4 Combine like terms: 53.5 + -21.4 = 32.1 10.7x = 32.1 Divide each side by '10.7'. x = 3 Simplifying x = 3
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