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Simplifying 4(3x + 1) + 2x = -12 Reorder the terms: 4(1 + 3x) + 2x = -12 (1 * 4 + 3x * 4) + 2x = -12 (4 + 12x) + 2x = -12 Combine like terms: 12x + 2x = 14x 4 + 14x = -12 Solving 4 + 14x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 14x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 14x = -12 + -4 14x = -12 + -4 Combine like terms: -12 + -4 = -16 14x = -16 Divide each side by '14'. x = -1.142857143 Simplifying x = -1.142857143
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