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Simplifying 7(3x + 6) = 24 + -1(3x + 6) Reorder the terms: 7(6 + 3x) = 24 + -1(3x + 6) (6 * 7 + 3x * 7) = 24 + -1(3x + 6) (42 + 21x) = 24 + -1(3x + 6) Reorder the terms: 42 + 21x = 24 + -1(6 + 3x) 42 + 21x = 24 + (6 * -1 + 3x * -1) 42 + 21x = 24 + (-6 + -3x) Combine like terms: 24 + -6 = 18 42 + 21x = 18 + -3x Solving 42 + 21x = 18 + -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. 42 + 21x + 3x = 18 + -3x + 3x Combine like terms: 21x + 3x = 24x 42 + 24x = 18 + -3x + 3x Combine like terms: -3x + 3x = 0 42 + 24x = 18 + 0 42 + 24x = 18 Add '-42' to each side of the equation. 42 + -42 + 24x = 18 + -42 Combine like terms: 42 + -42 = 0 0 + 24x = 18 + -42 24x = 18 + -42 Combine like terms: 18 + -42 = -24 24x = -24 Divide each side by '24'. x = -1 Simplifying x = -1
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