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Simplifying -12(x + 5) + 633 = 15 + 18 Reorder the terms: -12(5 + x) + 633 = 15 + 18 (5 * -12 + x * -12) + 633 = 15 + 18 (-60 + -12x) + 633 = 15 + 18 Reorder the terms: -60 + 633 + -12x = 15 + 18 Combine like terms: -60 + 633 = 573 573 + -12x = 15 + 18 Combine like terms: 15 + 18 = 33 573 + -12x = 33 Solving 573 + -12x = 33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-573' to each side of the equation. 573 + -573 + -12x = 33 + -573 Combine like terms: 573 + -573 = 0 0 + -12x = 33 + -573 -12x = 33 + -573 Combine like terms: 33 + -573 = -540 -12x = -540 Divide each side by '-12'. x = 45 Simplifying x = 45
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