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Simplifying 8.6x + 42.12 = -11.4x + 41.02 Reorder the terms: 42.12 + 8.6x = -11.4x + 41.02 Reorder the terms: 42.12 + 8.6x = 41.02 + -11.4x Solving 42.12 + 8.6x = 41.02 + -11.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11.4x' to each side of the equation. 42.12 + 8.6x + 11.4x = 41.02 + -11.4x + 11.4x Combine like terms: 8.6x + 11.4x = 20x 42.12 + 20x = 41.02 + -11.4x + 11.4x Combine like terms: -11.4x + 11.4x = 0.0 42.12 + 20x = 41.02 + 0.0 42.12 + 20x = 41.02 Add '-42.12' to each side of the equation. 42.12 + -42.12 + 20x = 41.02 + -42.12 Combine like terms: 42.12 + -42.12 = 0.00 0.00 + 20x = 41.02 + -42.12 20x = 41.02 + -42.12 Combine like terms: 41.02 + -42.12 = -1.1 20x = -1.1 Divide each side by '20'. x = -0.055 Simplifying x = -0.055
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