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Simplifying 9.2x + 29.14 = -10.8x + 27.66 Reorder the terms: 29.14 + 9.2x = -10.8x + 27.66 Reorder the terms: 29.14 + 9.2x = 27.66 + -10.8x Solving 29.14 + 9.2x = 27.66 + -10.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.8x' to each side of the equation. 29.14 + 9.2x + 10.8x = 27.66 + -10.8x + 10.8x Combine like terms: 9.2x + 10.8x = 20x 29.14 + 20x = 27.66 + -10.8x + 10.8x Combine like terms: -10.8x + 10.8x = 0.0 29.14 + 20x = 27.66 + 0.0 29.14 + 20x = 27.66 Add '-29.14' to each side of the equation. 29.14 + -29.14 + 20x = 27.66 + -29.14 Combine like terms: 29.14 + -29.14 = 0.00 0.00 + 20x = 27.66 + -29.14 20x = 27.66 + -29.14 Combine like terms: 27.66 + -29.14 = -1.48 20x = -1.48 Divide each side by '20'. x = -0.074 Simplifying x = -0.074
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