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Simplifying -10(x + 7) + 529 = 15 + 24 Reorder the terms: -10(7 + x) + 529 = 15 + 24 (7 * -10 + x * -10) + 529 = 15 + 24 (-70 + -10x) + 529 = 15 + 24 Reorder the terms: -70 + 529 + -10x = 15 + 24 Combine like terms: -70 + 529 = 459 459 + -10x = 15 + 24 Combine like terms: 15 + 24 = 39 459 + -10x = 39 Solving 459 + -10x = 39 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-459' to each side of the equation. 459 + -459 + -10x = 39 + -459 Combine like terms: 459 + -459 = 0 0 + -10x = 39 + -459 -10x = 39 + -459 Combine like terms: 39 + -459 = -420 -10x = -420 Divide each side by '-10'. x = 42 Simplifying x = 42
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