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Simplifying 414 = -6(8x + 3) + -6x Reorder the terms: 414 = -6(3 + 8x) + -6x 414 = (3 * -6 + 8x * -6) + -6x 414 = (-18 + -48x) + -6x Combine like terms: -48x + -6x = -54x 414 = -18 + -54x Solving 414 = -18 + -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. 414 + 54x = -18 + -54x + 54x Combine like terms: -54x + 54x = 0 414 + 54x = -18 + 0 414 + 54x = -18 Add '-414' to each side of the equation. 414 + -414 + 54x = -18 + -414 Combine like terms: 414 + -414 = 0 0 + 54x = -18 + -414 54x = -18 + -414 Combine like terms: -18 + -414 = -432 54x = -432 Divide each side by '54'. x = -8 Simplifying x = -8
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