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Simplifying 7(3x + 1) + -1(x + 5) = -52 Reorder the terms: 7(1 + 3x) + -1(x + 5) = -52 (1 * 7 + 3x * 7) + -1(x + 5) = -52 (7 + 21x) + -1(x + 5) = -52 Reorder the terms: 7 + 21x + -1(5 + x) = -52 7 + 21x + (5 * -1 + x * -1) = -52 7 + 21x + (-5 + -1x) = -52 Reorder the terms: 7 + -5 + 21x + -1x = -52 Combine like terms: 7 + -5 = 2 2 + 21x + -1x = -52 Combine like terms: 21x + -1x = 20x 2 + 20x = -52 Solving 2 + 20x = -52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 20x = -52 + -2 Combine like terms: 2 + -2 = 0 0 + 20x = -52 + -2 20x = -52 + -2 Combine like terms: -52 + -2 = -54 20x = -54 Divide each side by '20'. x = -2.7 Simplifying x = -2.7
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