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Simplifying -8x + -3(3x + -4) = -5x + 24 Reorder the terms: -8x + -3(-4 + 3x) = -5x + 24 -8x + (-4 * -3 + 3x * -3) = -5x + 24 -8x + (12 + -9x) = -5x + 24 Reorder the terms: 12 + -8x + -9x = -5x + 24 Combine like terms: -8x + -9x = -17x 12 + -17x = -5x + 24 Reorder the terms: 12 + -17x = 24 + -5x Solving 12 + -17x = 24 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 12 + -17x + 5x = 24 + -5x + 5x Combine like terms: -17x + 5x = -12x 12 + -12x = 24 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + -12x = 24 + 0 12 + -12x = 24 Add '-12' to each side of the equation. 12 + -12 + -12x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -12x = 24 + -12 -12x = 24 + -12 Combine like terms: 24 + -12 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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