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Simplifying 5(7x + 3) + -3x = -52 Reorder the terms: 5(3 + 7x) + -3x = -52 (3 * 5 + 7x * 5) + -3x = -52 (15 + 35x) + -3x = -52 Combine like terms: 35x + -3x = 32x 15 + 32x = -52 Solving 15 + 32x = -52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 32x = -52 + -15 Combine like terms: 15 + -15 = 0 0 + 32x = -52 + -15 32x = -52 + -15 Combine like terms: -52 + -15 = -67 32x = -67 Divide each side by '32'. x = -2.09375 Simplifying x = -2.09375
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