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Simplifying -164 = 5x + 7(3x + 10) Reorder the terms: -164 = 5x + 7(10 + 3x) -164 = 5x + (10 * 7 + 3x * 7) -164 = 5x + (70 + 21x) Reorder the terms: -164 = 70 + 5x + 21x Combine like terms: 5x + 21x = 26x -164 = 70 + 26x Solving -164 = 70 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. -164 + -26x = 70 + 26x + -26x Combine like terms: 26x + -26x = 0 -164 + -26x = 70 + 0 -164 + -26x = 70 Add '164' to each side of the equation. -164 + 164 + -26x = 70 + 164 Combine like terms: -164 + 164 = 0 0 + -26x = 70 + 164 -26x = 70 + 164 Combine like terms: 70 + 164 = 234 -26x = 234 Divide each side by '-26'. x = -9 Simplifying x = -9
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