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Simplifying 6(4x + 6) = 6(9x + -24) Reorder the terms: 6(6 + 4x) = 6(9x + -24) (6 * 6 + 4x * 6) = 6(9x + -24) (36 + 24x) = 6(9x + -24) Reorder the terms: 36 + 24x = 6(-24 + 9x) 36 + 24x = (-24 * 6 + 9x * 6) 36 + 24x = (-144 + 54x) Solving 36 + 24x = -144 + 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. 36 + 24x + -54x = -144 + 54x + -54x Combine like terms: 24x + -54x = -30x 36 + -30x = -144 + 54x + -54x Combine like terms: 54x + -54x = 0 36 + -30x = -144 + 0 36 + -30x = -144 Add '-36' to each side of the equation. 36 + -36 + -30x = -144 + -36 Combine like terms: 36 + -36 = 0 0 + -30x = -144 + -36 -30x = -144 + -36 Combine like terms: -144 + -36 = -180 -30x = -180 Divide each side by '-30'. x = 6 Simplifying x = 6
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