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Simplifying x + 10 = -6x + -52 Reorder the terms: 10 + x = -6x + -52 Reorder the terms: 10 + x = -52 + -6x Solving 10 + x = -52 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 10 + x + 6x = -52 + -6x + 6x Combine like terms: x + 6x = 7x 10 + 7x = -52 + -6x + 6x Combine like terms: -6x + 6x = 0 10 + 7x = -52 + 0 10 + 7x = -52 Add '-10' to each side of the equation. 10 + -10 + 7x = -52 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = -52 + -10 7x = -52 + -10 Combine like terms: -52 + -10 = -62 7x = -62 Divide each side by '7'. x = -8.857142857 Simplifying x = -8.857142857
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