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Simplifying (400 + 4x) * 3 + 2(350 + 3x) = 2800 Reorder the terms for easier multiplication: 3(400 + 4x) + 2(350 + 3x) = 2800 (400 * 3 + 4x * 3) + 2(350 + 3x) = 2800 (1200 + 12x) + 2(350 + 3x) = 2800 1200 + 12x + (350 * 2 + 3x * 2) = 2800 1200 + 12x + (700 + 6x) = 2800 Reorder the terms: 1200 + 700 + 12x + 6x = 2800 Combine like terms: 1200 + 700 = 1900 1900 + 12x + 6x = 2800 Combine like terms: 12x + 6x = 18x 1900 + 18x = 2800 Solving 1900 + 18x = 2800 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1900' to each side of the equation. 1900 + -1900 + 18x = 2800 + -1900 Combine like terms: 1900 + -1900 = 0 0 + 18x = 2800 + -1900 18x = 2800 + -1900 Combine like terms: 2800 + -1900 = 900 18x = 900 Divide each side by '18'. x = 50 Simplifying x = 50
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