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Simplifying 3(5x + 7) = -46 + 52 Reorder the terms: 3(7 + 5x) = -46 + 52 (7 * 3 + 5x * 3) = -46 + 52 (21 + 15x) = -46 + 52 Combine like terms: -46 + 52 = 6 21 + 15x = 6 Solving 21 + 15x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 15x = 6 + -21 Combine like terms: 21 + -21 = 0 0 + 15x = 6 + -21 15x = 6 + -21 Combine like terms: 6 + -21 = -15 15x = -15 Divide each side by '15'. x = -1 Simplifying x = -1
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