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Simplifying 5 + x = 7x + -31 Reorder the terms: 5 + x = -31 + 7x Solving 5 + 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. 5 + x + -7x = -31 + 7x + -7x Combine like terms: x + -7x = -6x 5 + -6x = -31 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + -6x = -31 + 0 5 + -6x = -31 Add '-5' to each side of the equation. 5 + -5 + -6x = -31 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = -31 + -5 -6x = -31 + -5 Combine like terms: -31 + -5 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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