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Simplifying x + 7 = -6x Reorder the terms: 7 + x = -6x Solving 7 + x = -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. 7 + x + 6x = -6x + 6x Combine like terms: x + 6x = 7x 7 + 7x = -6x + 6x Combine like terms: -6x + 6x = 0 7 + 7x = 0 Add '-7' to each side of the equation. 7 + -7 + 7x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = 0 + -7 7x = 0 + -7 Combine like terms: 0 + -7 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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