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Simplifying -12 + 42 = -5(x + 4) Combine like terms: -12 + 42 = 30 30 = -5(x + 4) Reorder the terms: 30 = -5(4 + x) 30 = (4 * -5 + x * -5) 30 = (-20 + -5x) Solving 30 = -20 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 30 + 5x = -20 + -5x + 5x Combine like terms: -5x + 5x = 0 30 + 5x = -20 + 0 30 + 5x = -20 Add '-30' to each side of the equation. 30 + -30 + 5x = -20 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = -20 + -30 5x = -20 + -30 Combine like terms: -20 + -30 = -50 5x = -50 Divide each side by '5'. x = -10 Simplifying x = -10
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