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Simplifying [52 + 7x] + [100] + [6x + -10] = 0 Remove brackets around [52 + 7x] 52 + 7x + [100] + [6x + -10] = 0 52 + 7x + 100 + [6x + -10] = 0 Reorder the terms: 52 + 7x + 100 + [-10 + 6x] = 0 Remove brackets around [-10 + 6x] 52 + 7x + 100 + -10 + 6x = 0 Reorder the terms: 52 + 100 + -10 + 7x + 6x = 0 Combine like terms: 52 + 100 = 152 152 + -10 + 7x + 6x = 0 Combine like terms: 152 + -10 = 142 142 + 7x + 6x = 0 Combine like terms: 7x + 6x = 13x 142 + 13x = 0 Solving 142 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-142' to each side of the equation. 142 + -142 + 13x = 0 + -142 Combine like terms: 142 + -142 = 0 0 + 13x = 0 + -142 13x = 0 + -142 Combine like terms: 0 + -142 = -142 13x = -142 Divide each side by '13'. x = -10.92307692 Simplifying x = -10.92307692
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