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Simplifying 6(8 + -4x) = 9 + 9(1 + -6x) (8 * 6 + -4x * 6) = 9 + 9(1 + -6x) (48 + -24x) = 9 + 9(1 + -6x) 48 + -24x = 9 + (1 * 9 + -6x * 9) 48 + -24x = 9 + (9 + -54x) Combine like terms: 9 + 9 = 18 48 + -24x = 18 + -54x Solving 48 + -24x = 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. 48 + -24x + 54x = 18 + -54x + 54x Combine like terms: -24x + 54x = 30x 48 + 30x = 18 + -54x + 54x Combine like terms: -54x + 54x = 0 48 + 30x = 18 + 0 48 + 30x = 18 Add '-48' to each side of the equation. 48 + -48 + 30x = 18 + -48 Combine like terms: 48 + -48 = 0 0 + 30x = 18 + -48 30x = 18 + -48 Combine like terms: 18 + -48 = -30 30x = -30 Divide each side by '30'. x = -1 Simplifying x = -1
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