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Simplifying 3(4x + 6) = 2(9x + -24) Reorder the terms: 3(6 + 4x) = 2(9x + -24) (6 * 3 + 4x * 3) = 2(9x + -24) (18 + 12x) = 2(9x + -24) Reorder the terms: 18 + 12x = 2(-24 + 9x) 18 + 12x = (-24 * 2 + 9x * 2) 18 + 12x = (-48 + 18x) Solving 18 + 12x = -48 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 18 + 12x + -18x = -48 + 18x + -18x Combine like terms: 12x + -18x = -6x 18 + -6x = -48 + 18x + -18x Combine like terms: 18x + -18x = 0 18 + -6x = -48 + 0 18 + -6x = -48 Add '-18' to each side of the equation. 18 + -18 + -6x = -48 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = -48 + -18 -6x = -48 + -18 Combine like terms: -48 + -18 = -66 -6x = -66 Divide each side by '-6'. x = 11 Simplifying x = 11
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