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Simplifying 3.6x + 52.2 = 23.2 + -10.9x Reorder the terms: 52.2 + 3.6x = 23.2 + -10.9x Solving 52.2 + 3.6x = 23.2 + -10.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.9x' to each side of the equation. 52.2 + 3.6x + 10.9x = 23.2 + -10.9x + 10.9x Combine like terms: 3.6x + 10.9x = 14.5x 52.2 + 14.5x = 23.2 + -10.9x + 10.9x Combine like terms: -10.9x + 10.9x = 0.0 52.2 + 14.5x = 23.2 + 0.0 52.2 + 14.5x = 23.2 Add '-52.2' to each side of the equation. 52.2 + -52.2 + 14.5x = 23.2 + -52.2 Combine like terms: 52.2 + -52.2 = 0.0 0.0 + 14.5x = 23.2 + -52.2 14.5x = 23.2 + -52.2 Combine like terms: 23.2 + -52.2 = -29 14.5x = -29 Divide each side by '14.5'. x = -2 Simplifying x = -2
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