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Simplifying 4(3x + 9) = -38 + 62 Reorder the terms: 4(9 + 3x) = -38 + 62 (9 * 4 + 3x * 4) = -38 + 62 (36 + 12x) = -38 + 62 Combine like terms: -38 + 62 = 24 36 + 12x = 24 Solving 36 + 12x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 12x = 24 + -36 Combine like terms: 36 + -36 = 0 0 + 12x = 24 + -36 12x = 24 + -36 Combine like terms: 24 + -36 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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