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Simplifying -9(12x + 2) = 8(x + 3) Reorder the terms: -9(2 + 12x) = 8(x + 3) (2 * -9 + 12x * -9) = 8(x + 3) (-18 + -108x) = 8(x + 3) Reorder the terms: -18 + -108x = 8(3 + x) -18 + -108x = (3 * 8 + x * 8) -18 + -108x = (24 + 8x) Solving -18 + -108x = 24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -18 + -108x + -8x = 24 + 8x + -8x Combine like terms: -108x + -8x = -116x -18 + -116x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + -116x = 24 + 0 -18 + -116x = 24 Add '18' to each side of the equation. -18 + 18 + -116x = 24 + 18 Combine like terms: -18 + 18 = 0 0 + -116x = 24 + 18 -116x = 24 + 18 Combine like terms: 24 + 18 = 42 -116x = 42 Divide each side by '-116'. x = -0.3620689655 Simplifying x = -0.3620689655
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