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Simplifying -5x + -24 = -4(x + -3) + 12x Reorder the terms: -24 + -5x = -4(x + -3) + 12x Reorder the terms: -24 + -5x = -4(-3 + x) + 12x -24 + -5x = (-3 * -4 + x * -4) + 12x -24 + -5x = (12 + -4x) + 12x Combine like terms: -4x + 12x = 8x -24 + -5x = 12 + 8x Solving -24 + -5x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -24 + -5x + -8x = 12 + 8x + -8x Combine like terms: -5x + -8x = -13x -24 + -13x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -24 + -13x = 12 + 0 -24 + -13x = 12 Add '24' to each side of the equation. -24 + 24 + -13x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -13x = 12 + 24 -13x = 12 + 24 Combine like terms: 12 + 24 = 36 -13x = 36 Divide each side by '-13'. x = -2.769230769 Simplifying x = -2.769230769
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