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Simplifying 3(7x + 8) + -9 = 3(x + -1) Reorder the terms: 3(8 + 7x) + -9 = 3(x + -1) (8 * 3 + 7x * 3) + -9 = 3(x + -1) (24 + 21x) + -9 = 3(x + -1) Reorder the terms: 24 + -9 + 21x = 3(x + -1) Combine like terms: 24 + -9 = 15 15 + 21x = 3(x + -1) Reorder the terms: 15 + 21x = 3(-1 + x) 15 + 21x = (-1 * 3 + x * 3) 15 + 21x = (-3 + 3x) Solving 15 + 21x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15 + 21x + -3x = -3 + 3x + -3x Combine like terms: 21x + -3x = 18x 15 + 18x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + 18x = -3 + 0 15 + 18x = -3 Add '-15' to each side of the equation. 15 + -15 + 18x = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 18x = -3 + -15 18x = -3 + -15 Combine like terms: -3 + -15 = -18 18x = -18 Divide each side by '18'. x = -1 Simplifying x = -1
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