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Simplifying 12x + -1(4x + 3) + 23 = 3x Reorder the terms: 12x + -1(3 + 4x) + 23 = 3x 12x + (3 * -1 + 4x * -1) + 23 = 3x 12x + (-3 + -4x) + 23 = 3x Reorder the terms: -3 + 23 + 12x + -4x = 3x Combine like terms: -3 + 23 = 20 20 + 12x + -4x = 3x Combine like terms: 12x + -4x = 8x 20 + 8x = 3x Solving 20 + 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. 20 + 8x + -3x = 3x + -3x Combine like terms: 8x + -3x = 5x 20 + 5x = 3x + -3x Combine like terms: 3x + -3x = 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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