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Simplifying -4(3x + 9) = 24 + 3(2x + -8) Reorder the terms: -4(9 + 3x) = 24 + 3(2x + -8) (9 * -4 + 3x * -4) = 24 + 3(2x + -8) (-36 + -12x) = 24 + 3(2x + -8) Reorder the terms: -36 + -12x = 24 + 3(-8 + 2x) -36 + -12x = 24 + (-8 * 3 + 2x * 3) -36 + -12x = 24 + (-24 + 6x) Combine like terms: 24 + -24 = 0 -36 + -12x = 0 + 6x -36 + -12x = 6x Solving -36 + -12x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -36 + -12x + -6x = 6x + -6x Combine like terms: -12x + -6x = -18x -36 + -18x = 6x + -6x Combine like terms: 6x + -6x = 0 -36 + -18x = 0 Add '36' to each side of the equation. -36 + 36 + -18x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -18x = 0 + 36 -18x = 0 + 36 Combine like terms: 0 + 36 = 36 -18x = 36 Divide each side by '-18'. x = -2 Simplifying x = -2
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