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Simplifying 12x + -1(4x + 5) + 20 = 3x Reorder the terms: 12x + -1(5 + 4x) + 20 = 3x 12x + (5 * -1 + 4x * -1) + 20 = 3x 12x + (-5 + -4x) + 20 = 3x Reorder the terms: -5 + 20 + 12x + -4x = 3x Combine like terms: -5 + 20 = 15 15 + 12x + -4x = 3x Combine like terms: 12x + -4x = 8x 15 + 8x = 3x Solving 15 + 8x = 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. 15 + 8x + -3x = 3x + -3x Combine like terms: 8x + -3x = 5x 15 + 5x = 3x + -3x Combine like terms: 3x + -3x = 0 15 + 5x = 0 Add '-15' to each side of the equation. 15 + -15 + 5x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = 0 + -15 5x = 0 + -15 Combine like terms: 0 + -15 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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