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Simplifying (20)(50 + -1x)(4.184) = (30)(x + -25)(4.184) Reorder the terms for easier multiplication: 20 * 4.184(50 + -1x) = (30)(x + -25)(4.184) Multiply 20 * 4.184 83.68(50 + -1x) = (30)(x + -25)(4.184) (50 * 83.68 + -1x * 83.68) = (30)(x + -25)(4.184) (4184 + -83.68x) = (30)(x + -25)(4.184) Reorder the terms: 4184 + -83.68x = 30(-25 + x)(4.184) Reorder the terms for easier multiplication: 4184 + -83.68x = 30 * 4.184(-25 + x) Multiply 30 * 4.184 4184 + -83.68x = 125.52(-25 + x) 4184 + -83.68x = (-25 * 125.52 + x * 125.52) 4184 + -83.68x = (-3138 + 125.52x) Solving 4184 + -83.68x = -3138 + 125.52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-125.52x' to each side of the equation. 4184 + -83.68x + -125.52x = -3138 + 125.52x + -125.52x Combine like terms: -83.68x + -125.52x = -209.2x 4184 + -209.2x = -3138 + 125.52x + -125.52x Combine like terms: 125.52x + -125.52x = 0.00 4184 + -209.2x = -3138 + 0.00 4184 + -209.2x = -3138 Add '-4184' to each side of the equation. 4184 + -4184 + -209.2x = -3138 + -4184 Combine like terms: 4184 + -4184 = 0 0 + -209.2x = -3138 + -4184 -209.2x = -3138 + -4184 Combine like terms: -3138 + -4184 = -7322 -209.2x = -7322 Divide each side by '-209.2'. x = 35 Simplifying x = 35
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