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Simplifying 4(3x + -6) = 9(2x + 8) Reorder the terms: 4(-6 + 3x) = 9(2x + 8) (-6 * 4 + 3x * 4) = 9(2x + 8) (-24 + 12x) = 9(2x + 8) Reorder the terms: -24 + 12x = 9(8 + 2x) -24 + 12x = (8 * 9 + 2x * 9) -24 + 12x = (72 + 18x) Solving -24 + 12x = 72 + 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. -24 + 12x + -18x = 72 + 18x + -18x Combine like terms: 12x + -18x = -6x -24 + -6x = 72 + 18x + -18x Combine like terms: 18x + -18x = 0 -24 + -6x = 72 + 0 -24 + -6x = 72 Add '24' to each side of the equation. -24 + 24 + -6x = 72 + 24 Combine like terms: -24 + 24 = 0 0 + -6x = 72 + 24 -6x = 72 + 24 Combine like terms: 72 + 24 = 96 -6x = 96 Divide each side by '-6'. x = -16 Simplifying x = -16
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