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Simplifying (50)(90 + -1x)(0.45) = (50)(x + -10)(4.184) Reorder the terms for easier multiplication: 50 * 0.45(90 + -1x) = (50)(x + -10)(4.184) Multiply 50 * 0.45 22.5(90 + -1x) = (50)(x + -10)(4.184) (90 * 22.5 + -1x * 22.5) = (50)(x + -10)(4.184) (2025 + -22.5x) = (50)(x + -10)(4.184) Reorder the terms: 2025 + -22.5x = 50(-10 + x)(4.184) Reorder the terms for easier multiplication: 2025 + -22.5x = 50 * 4.184(-10 + x) Multiply 50 * 4.184 2025 + -22.5x = 209.2(-10 + x) 2025 + -22.5x = (-10 * 209.2 + x * 209.2) 2025 + -22.5x = (-2092 + 209.2x) Solving 2025 + -22.5x = -2092 + 209.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-209.2x' to each side of the equation. 2025 + -22.5x + -209.2x = -2092 + 209.2x + -209.2x Combine like terms: -22.5x + -209.2x = -231.7x 2025 + -231.7x = -2092 + 209.2x + -209.2x Combine like terms: 209.2x + -209.2x = 0.0 2025 + -231.7x = -2092 + 0.0 2025 + -231.7x = -2092 Add '-2025' to each side of the equation. 2025 + -2025 + -231.7x = -2092 + -2025 Combine like terms: 2025 + -2025 = 0 0 + -231.7x = -2092 + -2025 -231.7x = -2092 + -2025 Combine like terms: -2092 + -2025 = -4117 -231.7x = -4117 Divide each side by '-231.7'. x = 17.76866638 Simplifying x = 17.76866638
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