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Simplifying 7x + 5(24 + -1x) = 46 7x + (24 * 5 + -1x * 5) = 46 7x + (120 + -5x) = 46 Reorder the terms: 120 + 7x + -5x = 46 Combine like terms: 7x + -5x = 2x 120 + 2x = 46 Solving 120 + 2x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + 2x = 46 + -120 Combine like terms: 120 + -120 = 0 0 + 2x = 46 + -120 2x = 46 + -120 Combine like terms: 46 + -120 = -74 2x = -74 Divide each side by '2'. x = -37 Simplifying x = -37
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