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Simplifying 3(5 + 7x) = 8x + -37 (5 * 3 + 7x * 3) = 8x + -37 (15 + 21x) = 8x + -37 Reorder the terms: 15 + 21x = -37 + 8x Solving 15 + 21x = -37 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + 21x + -8x = -37 + 8x + -8x Combine like terms: 21x + -8x = 13x 15 + 13x = -37 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + 13x = -37 + 0 15 + 13x = -37 Add '-15' to each side of the equation. 15 + -15 + 13x = -37 + -15 Combine like terms: 15 + -15 = 0 0 + 13x = -37 + -15 13x = -37 + -15 Combine like terms: -37 + -15 = -52 13x = -52 Divide each side by '13'. x = -4 Simplifying x = -4
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