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Simplifying 7 + 4(3x + 12) + -2 = -19 Reorder the terms: 7 + 4(12 + 3x) + -2 = -19 7 + (12 * 4 + 3x * 4) + -2 = -19 7 + (48 + 12x) + -2 = -19 Reorder the terms: 7 + 48 + -2 + 12x = -19 Combine like terms: 7 + 48 = 55 55 + -2 + 12x = -19 Combine like terms: 55 + -2 = 53 53 + 12x = -19 Solving 53 + 12x = -19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + 12x = -19 + -53 Combine like terms: 53 + -53 = 0 0 + 12x = -19 + -53 12x = -19 + -53 Combine like terms: -19 + -53 = -72 12x = -72 Divide each side by '12'. x = -6 Simplifying x = -6
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