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Simplifying -9(4x + -8) = 6(9x + -3) Reorder the terms: -9(-8 + 4x) = 6(9x + -3) (-8 * -9 + 4x * -9) = 6(9x + -3) (72 + -36x) = 6(9x + -3) Reorder the terms: 72 + -36x = 6(-3 + 9x) 72 + -36x = (-3 * 6 + 9x * 6) 72 + -36x = (-18 + 54x) Solving 72 + -36x = -18 + 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. 72 + -36x + -54x = -18 + 54x + -54x Combine like terms: -36x + -54x = -90x 72 + -90x = -18 + 54x + -54x Combine like terms: 54x + -54x = 0 72 + -90x = -18 + 0 72 + -90x = -18 Add '-72' to each side of the equation. 72 + -72 + -90x = -18 + -72 Combine like terms: 72 + -72 = 0 0 + -90x = -18 + -72 -90x = -18 + -72 Combine like terms: -18 + -72 = -90 -90x = -90 Divide each side by '-90'. x = 1 Simplifying x = 1
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