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Simplifying -4(-3x + 4) + -5 = 24 + -3x Reorder the terms: -4(4 + -3x) + -5 = 24 + -3x (4 * -4 + -3x * -4) + -5 = 24 + -3x (-16 + 12x) + -5 = 24 + -3x Reorder the terms: -16 + -5 + 12x = 24 + -3x Combine like terms: -16 + -5 = -21 -21 + 12x = 24 + -3x Solving -21 + 12x = 24 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -21 + 12x + 3x = 24 + -3x + 3x Combine like terms: 12x + 3x = 15x -21 + 15x = 24 + -3x + 3x Combine like terms: -3x + 3x = 0 -21 + 15x = 24 + 0 -21 + 15x = 24 Add '21' to each side of the equation. -21 + 21 + 15x = 24 + 21 Combine like terms: -21 + 21 = 0 0 + 15x = 24 + 21 15x = 24 + 21 Combine like terms: 24 + 21 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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