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Simplifying 5(7 + -1x) + 4(3x + 2) = 50 (7 * 5 + -1x * 5) + 4(3x + 2) = 50 (35 + -5x) + 4(3x + 2) = 50 Reorder the terms: 35 + -5x + 4(2 + 3x) = 50 35 + -5x + (2 * 4 + 3x * 4) = 50 35 + -5x + (8 + 12x) = 50 Reorder the terms: 35 + 8 + -5x + 12x = 50 Combine like terms: 35 + 8 = 43 43 + -5x + 12x = 50 Combine like terms: -5x + 12x = 7x 43 + 7x = 50 Solving 43 + 7x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 7x = 50 + -43 Combine like terms: 43 + -43 = 0 0 + 7x = 50 + -43 7x = 50 + -43 Combine like terms: 50 + -43 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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