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Simplifying 1 + 7(3x + 2) = x + -5 Reorder the terms: 1 + 7(2 + 3x) = x + -5 1 + (2 * 7 + 3x * 7) = x + -5 1 + (14 + 21x) = x + -5 Combine like terms: 1 + 14 = 15 15 + 21x = x + -5 Reorder the terms: 15 + 21x = -5 + x Solving 15 + 21x = -5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 15 + 21x + -1x = -5 + x + -1x Combine like terms: 21x + -1x = 20x 15 + 20x = -5 + x + -1x Combine like terms: x + -1x = 0 15 + 20x = -5 + 0 15 + 20x = -5 Add '-15' to each side of the equation. 15 + -15 + 20x = -5 + -15 Combine like terms: 15 + -15 = 0 0 + 20x = -5 + -15 20x = -5 + -15 Combine like terms: -5 + -15 = -20 20x = -20 Divide each side by '20'. x = -1 Simplifying x = -1
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