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Simplifying 10.2x + 39.58 = -9.8x + 38.94 Reorder the terms: 39.58 + 10.2x = -9.8x + 38.94 Reorder the terms: 39.58 + 10.2x = 38.94 + -9.8x Solving 39.58 + 10.2x = 38.94 + -9.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.8x' to each side of the equation. 39.58 + 10.2x + 9.8x = 38.94 + -9.8x + 9.8x Combine like terms: 10.2x + 9.8x = 20x 39.58 + 20x = 38.94 + -9.8x + 9.8x Combine like terms: -9.8x + 9.8x = 0.0 39.58 + 20x = 38.94 + 0.0 39.58 + 20x = 38.94 Add '-39.58' to each side of the equation. 39.58 + -39.58 + 20x = 38.94 + -39.58 Combine like terms: 39.58 + -39.58 = 0.00 0.00 + 20x = 38.94 + -39.58 20x = 38.94 + -39.58 Combine like terms: 38.94 + -39.58 = -0.64 20x = -0.64 Divide each side by '20'. x = -0.032 Simplifying x = -0.032
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