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Simplifying 3(7x + 8) = 6(3 + -6x) + 3x Reorder the terms: 3(8 + 7x) = 6(3 + -6x) + 3x (8 * 3 + 7x * 3) = 6(3 + -6x) + 3x (24 + 21x) = 6(3 + -6x) + 3x 24 + 21x = (3 * 6 + -6x * 6) + 3x 24 + 21x = (18 + -36x) + 3x Combine like terms: -36x + 3x = -33x 24 + 21x = 18 + -33x Solving 24 + 21x = 18 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. 24 + 21x + 33x = 18 + -33x + 33x Combine like terms: 21x + 33x = 54x 24 + 54x = 18 + -33x + 33x Combine like terms: -33x + 33x = 0 24 + 54x = 18 + 0 24 + 54x = 18 Add '-24' to each side of the equation. 24 + -24 + 54x = 18 + -24 Combine like terms: 24 + -24 = 0 0 + 54x = 18 + -24 54x = 18 + -24 Combine like terms: 18 + -24 = -6 54x = -6 Divide each side by '54'. x = -0.1111111111 Simplifying x = -0.1111111111
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