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Simplifying 6(-6x + 8) = -6(9x + -5) Reorder the terms: 6(8 + -6x) = -6(9x + -5) (8 * 6 + -6x * 6) = -6(9x + -5) (48 + -36x) = -6(9x + -5) Reorder the terms: 48 + -36x = -6(-5 + 9x) 48 + -36x = (-5 * -6 + 9x * -6) 48 + -36x = (30 + -54x) Solving 48 + -36x = 30 + -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. 48 + -36x + 54x = 30 + -54x + 54x Combine like terms: -36x + 54x = 18x 48 + 18x = 30 + -54x + 54x Combine like terms: -54x + 54x = 0 48 + 18x = 30 + 0 48 + 18x = 30 Add '-48' to each side of the equation. 48 + -48 + 18x = 30 + -48 Combine like terms: 48 + -48 = 0 0 + 18x = 30 + -48 18x = 30 + -48 Combine like terms: 30 + -48 = -18 18x = -18 Divide each side by '18'. x = -1 Simplifying x = -1
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