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Simplifying -3(7x + -6) = -18(23 + 3x) Reorder the terms: -3(-6 + 7x) = -18(23 + 3x) (-6 * -3 + 7x * -3) = -18(23 + 3x) (18 + -21x) = -18(23 + 3x) 18 + -21x = (23 * -18 + 3x * -18) 18 + -21x = (-414 + -54x) Solving 18 + -21x = -414 + -54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54x' to each side of the equation. 18 + -21x + 54x = -414 + -54x + 54x Combine like terms: -21x + 54x = 33x 18 + 33x = -414 + -54x + 54x Combine like terms: -54x + 54x = 0 18 + 33x = -414 + 0 18 + 33x = -414 Add '-18' to each side of the equation. 18 + -18 + 33x = -414 + -18 Combine like terms: 18 + -18 = 0 0 + 33x = -414 + -18 33x = -414 + -18 Combine like terms: -414 + -18 = -432 33x = -432 Divide each side by '33'. x = -13.09090909 Simplifying x = -13.09090909
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