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Simplifying 12(x + -4) + 24 = -3(-3x + 8) Reorder the terms: 12(-4 + x) + 24 = -3(-3x + 8) (-4 * 12 + x * 12) + 24 = -3(-3x + 8) (-48 + 12x) + 24 = -3(-3x + 8) Reorder the terms: -48 + 24 + 12x = -3(-3x + 8) Combine like terms: -48 + 24 = -24 -24 + 12x = -3(-3x + 8) Reorder the terms: -24 + 12x = -3(8 + -3x) -24 + 12x = (8 * -3 + -3x * -3) -24 + 12x = (-24 + 9x) Add '24' to each side of the equation. -24 + 24 + 12x = -24 + 24 + 9x Combine like terms: -24 + 24 = 0 0 + 12x = -24 + 24 + 9x 12x = -24 + 24 + 9x Combine like terms: -24 + 24 = 0 12x = 0 + 9x 12x = 9x Solving 12x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12x + -9x = 9x + -9x Combine like terms: 12x + -9x = 3x 3x = 9x + -9x Combine like terms: 9x + -9x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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