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Simplifying (10.0)(50.0 + -1x)(4.184) = (20.0)(x + -10.0)(4.184) Reorder the terms for easier multiplication: 10.0 * 4.184(50.0 + -1x) = (20.0)(x + -10.0)(4.184) Multiply 10.0 * 4.184 41.84(50.0 + -1x) = (20.0)(x + -10.0)(4.184) (50.0 * 41.84 + -1x * 41.84) = (20.0)(x + -10.0)(4.184) (2092 + -41.84x) = (20.0)(x + -10.0)(4.184) Reorder the terms: 2092 + -41.84x = 20.0(-10.0 + x)(4.184) Reorder the terms for easier multiplication: 2092 + -41.84x = 20.0 * 4.184(-10.0 + x) Multiply 20.0 * 4.184 2092 + -41.84x = 83.68(-10.0 + x) 2092 + -41.84x = (-10.0 * 83.68 + x * 83.68) 2092 + -41.84x = (-836.8 + 83.68x) Solving 2092 + -41.84x = -836.8 + 83.68x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-83.68x' to each side of the equation. 2092 + -41.84x + -83.68x = -836.8 + 83.68x + -83.68x Combine like terms: -41.84x + -83.68x = -125.52x 2092 + -125.52x = -836.8 + 83.68x + -83.68x Combine like terms: 83.68x + -83.68x = 0.00 2092 + -125.52x = -836.8 + 0.00 2092 + -125.52x = -836.8 Add '-2092' to each side of the equation. 2092 + -2092 + -125.52x = -836.8 + -2092 Combine like terms: 2092 + -2092 = 0 0 + -125.52x = -836.8 + -2092 -125.52x = -836.8 + -2092 Combine like terms: -836.8 + -2092 = -2928.8 -125.52x = -2928.8 Divide each side by '-125.52'. x = 23.33333333 Simplifying x = 23.33333333
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