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Simplifying -12(x + 3) + 152 = 20 + 24 Reorder the terms: -12(3 + x) + 152 = 20 + 24 (3 * -12 + x * -12) + 152 = 20 + 24 (-36 + -12x) + 152 = 20 + 24 Reorder the terms: -36 + 152 + -12x = 20 + 24 Combine like terms: -36 + 152 = 116 116 + -12x = 20 + 24 Combine like terms: 20 + 24 = 44 116 + -12x = 44 Solving 116 + -12x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-116' to each side of the equation. 116 + -116 + -12x = 44 + -116 Combine like terms: 116 + -116 = 0 0 + -12x = 44 + -116 -12x = 44 + -116 Combine like terms: 44 + -116 = -72 -12x = -72 Divide each side by '-12'. x = 6 Simplifying x = 6
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