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Simplifying 2(12x + -9) = 3(6x + -16) Reorder the terms: 2(-9 + 12x) = 3(6x + -16) (-9 * 2 + 12x * 2) = 3(6x + -16) (-18 + 24x) = 3(6x + -16) Reorder the terms: -18 + 24x = 3(-16 + 6x) -18 + 24x = (-16 * 3 + 6x * 3) -18 + 24x = (-48 + 18x) Solving -18 + 24x = -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 + 24x + -18x = -48 + 18x + -18x Combine like terms: 24x + -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 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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