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Simplifying (50)(80 + -1x)(4.184) = (50)(x + -10)(4.184) Reorder the terms for easier multiplication: 50 * 4.184(80 + -1x) = (50)(x + -10)(4.184) Multiply 50 * 4.184 209.2(80 + -1x) = (50)(x + -10)(4.184) (80 * 209.2 + -1x * 209.2) = (50)(x + -10)(4.184) (16736 + -209.2x) = (50)(x + -10)(4.184) Reorder the terms: 16736 + -209.2x = 50(-10 + x)(4.184) Reorder the terms for easier multiplication: 16736 + -209.2x = 50 * 4.184(-10 + x) Multiply 50 * 4.184 16736 + -209.2x = 209.2(-10 + x) 16736 + -209.2x = (-10 * 209.2 + x * 209.2) 16736 + -209.2x = (-2092 + 209.2x) Solving 16736 + -209.2x = -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. 16736 + -209.2x + -209.2x = -2092 + 209.2x + -209.2x Combine like terms: -209.2x + -209.2x = -418.4x 16736 + -418.4x = -2092 + 209.2x + -209.2x Combine like terms: 209.2x + -209.2x = 0.0 16736 + -418.4x = -2092 + 0.0 16736 + -418.4x = -2092 Add '-16736' to each side of the equation. 16736 + -16736 + -418.4x = -2092 + -16736 Combine like terms: 16736 + -16736 = 0 0 + -418.4x = -2092 + -16736 -418.4x = -2092 + -16736 Combine like terms: -2092 + -16736 = -18828 -418.4x = -18828 Divide each side by '-418.4'. x = 45 Simplifying x = 45
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