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Simplifying 13x + 5 = x + -7 Reorder the terms: 5 + 13x = x + -7 Reorder the terms: 5 + 13x = -7 + x Solving 5 + 13x = -7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + 13x + -1x = -7 + x + -1x Combine like terms: 13x + -1x = 12x 5 + 12x = -7 + x + -1x Combine like terms: x + -1x = 0 5 + 12x = -7 + 0 5 + 12x = -7 Add '-5' to each side of the equation. 5 + -5 + 12x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = -7 + -5 12x = -7 + -5 Combine like terms: -7 + -5 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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