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Simplifying -3 + 9(6x + 2) = -6 + -6(9x + 8) Reorder the terms: -3 + 9(2 + 6x) = -6 + -6(9x + 8) -3 + (2 * 9 + 6x * 9) = -6 + -6(9x + 8) -3 + (18 + 54x) = -6 + -6(9x + 8) Combine like terms: -3 + 18 = 15 15 + 54x = -6 + -6(9x + 8) Reorder the terms: 15 + 54x = -6 + -6(8 + 9x) 15 + 54x = -6 + (8 * -6 + 9x * -6) 15 + 54x = -6 + (-48 + -54x) Combine like terms: -6 + -48 = -54 15 + 54x = -54 + -54x Solving 15 + 54x = -54 + -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. 15 + 54x + 54x = -54 + -54x + 54x Combine like terms: 54x + 54x = 108x 15 + 108x = -54 + -54x + 54x Combine like terms: -54x + 54x = 0 15 + 108x = -54 + 0 15 + 108x = -54 Add '-15' to each side of the equation. 15 + -15 + 108x = -54 + -15 Combine like terms: 15 + -15 = 0 0 + 108x = -54 + -15 108x = -54 + -15 Combine like terms: -54 + -15 = -69 108x = -69 Divide each side by '108'. x = -0.6388888889 Simplifying x = -0.6388888889
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