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Simplifying 5.3x + -10.369 = 3.2x + 0.53 Reorder the terms: -10.369 + 5.3x = 3.2x + 0.53 Reorder the terms: -10.369 + 5.3x = 0.53 + 3.2x Solving -10.369 + 5.3x = 0.53 + 3.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.2x' to each side of the equation. -10.369 + 5.3x + -3.2x = 0.53 + 3.2x + -3.2x Combine like terms: 5.3x + -3.2x = 2.1x -10.369 + 2.1x = 0.53 + 3.2x + -3.2x Combine like terms: 3.2x + -3.2x = 0.0 -10.369 + 2.1x = 0.53 + 0.0 -10.369 + 2.1x = 0.53 Add '10.369' to each side of the equation. -10.369 + 10.369 + 2.1x = 0.53 + 10.369 Combine like terms: -10.369 + 10.369 = 0.000 0.000 + 2.1x = 0.53 + 10.369 2.1x = 0.53 + 10.369 Combine like terms: 0.53 + 10.369 = 10.899 2.1x = 10.899 Divide each side by '2.1'. x = 5.19 Simplifying x = 5.19
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