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Simplifying x + 10 = -6x + 87 Reorder the terms: 10 + x = -6x + 87 Reorder the terms: 10 + x = 87 + -6x Solving 10 + x = 87 + -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 = 87 + -6x + 6x Combine like terms: x + 6x = 7x 10 + 7x = 87 + -6x + 6x Combine like terms: -6x + 6x = 0 10 + 7x = 87 + 0 10 + 7x = 87 Add '-10' to each side of the equation. 10 + -10 + 7x = 87 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 87 + -10 7x = 87 + -10 Combine like terms: 87 + -10 = 77 7x = 77 Divide each side by '7'. x = 11 Simplifying x = 11
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