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Simplifying -24 + 3x = -4(-1 + -5x) + 6 -24 + 3x = (-1 * -4 + -5x * -4) + 6 -24 + 3x = (4 + 20x) + 6 Reorder the terms: -24 + 3x = 4 + 6 + 20x Combine like terms: 4 + 6 = 10 -24 + 3x = 10 + 20x Solving -24 + 3x = 10 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -24 + 3x + -20x = 10 + 20x + -20x Combine like terms: 3x + -20x = -17x -24 + -17x = 10 + 20x + -20x Combine like terms: 20x + -20x = 0 -24 + -17x = 10 + 0 -24 + -17x = 10 Add '24' to each side of the equation. -24 + 24 + -17x = 10 + 24 Combine like terms: -24 + 24 = 0 0 + -17x = 10 + 24 -17x = 10 + 24 Combine like terms: 10 + 24 = 34 -17x = 34 Divide each side by '-17'. x = -2 Simplifying x = -2
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