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Simplifying 100(4x + 380) + 200(4x) + 400(x) = 86000 Reorder the terms: 100(380 + 4x) + 200(4x) + 400(x) = 86000 (380 * 100 + 4x * 100) + 200(4x) + 400(x) = 86000 (38000 + 400x) + 200(4x) + 400(x) = 86000 Remove parenthesis around (4x) 38000 + 400x + 200 * 4x + 400(x) = 86000 Multiply 200 * 4 38000 + 400x + 800x + 400(x) = 86000 Combine like terms: 400x + 800x = 1200x 38000 + 1200x + 400x = 86000 Combine like terms: 1200x + 400x = 1600x 38000 + 1600x = 86000 Solving 38000 + 1600x = 86000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38000' to each side of the equation. 38000 + -38000 + 1600x = 86000 + -38000 Combine like terms: 38000 + -38000 = 0 0 + 1600x = 86000 + -38000 1600x = 86000 + -38000 Combine like terms: 86000 + -38000 = 48000 1600x = 48000 Divide each side by '1600'. x = 30 Simplifying x = 30
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