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Simplifying 3.2 + 8.4x + 9.33 = 6.2x + -4.2 Reorder the terms: 3.2 + 9.33 + 8.4x = 6.2x + -4.2 Combine like terms: 3.2 + 9.33 = 12.53 12.53 + 8.4x = 6.2x + -4.2 Reorder the terms: 12.53 + 8.4x = -4.2 + 6.2x Solving 12.53 + 8.4x = -4.2 + 6.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.2x' to each side of the equation. 12.53 + 8.4x + -6.2x = -4.2 + 6.2x + -6.2x Combine like terms: 8.4x + -6.2x = 2.2x 12.53 + 2.2x = -4.2 + 6.2x + -6.2x Combine like terms: 6.2x + -6.2x = 0.0 12.53 + 2.2x = -4.2 + 0.0 12.53 + 2.2x = -4.2 Add '-12.53' to each side of the equation. 12.53 + -12.53 + 2.2x = -4.2 + -12.53 Combine like terms: 12.53 + -12.53 = 0.00 0.00 + 2.2x = -4.2 + -12.53 2.2x = -4.2 + -12.53 Combine like terms: -4.2 + -12.53 = -16.73 2.2x = -16.73 Divide each side by '2.2'. x = -7.604545455 Simplifying x = -7.604545455
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