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Simplifying 12x + -1(5x + 4) + 24 = 2x Reorder the terms: 12x + -1(4 + 5x) + 24 = 2x 12x + (4 * -1 + 5x * -1) + 24 = 2x 12x + (-4 + -5x) + 24 = 2x Reorder the terms: -4 + 24 + 12x + -5x = 2x Combine like terms: -4 + 24 = 20 20 + 12x + -5x = 2x Combine like terms: 12x + -5x = 7x 20 + 7x = 2x Solving 20 + 7x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 20 + 7x + -2x = 2x + -2x Combine like terms: 7x + -2x = 5x 20 + 5x = 2x + -2x Combine like terms: 2x + -2x = 0 20 + 5x = 0 Add '-20' to each side of the equation. 20 + -20 + 5x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 5x = 0 + -20 5x = 0 + -20 Combine like terms: 0 + -20 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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