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Simplifying x + 1 = 7x + 31 Reorder the terms: 1 + x = 7x + 31 Reorder the terms: 1 + x = 31 + 7x Solving 1 + x = 31 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 1 + x + -7x = 31 + 7x + -7x Combine like terms: x + -7x = -6x 1 + -6x = 31 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -6x = 31 + 0 1 + -6x = 31 Add '-1' to each side of the equation. 1 + -1 + -6x = 31 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 31 + -1 -6x = 31 + -1 Combine like terms: 31 + -1 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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