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Simplifying -5 + 13 = 13x + -2 + -12x Combine like terms: -5 + 13 = 8 8 = 13x + -2 + -12x Reorder the terms: 8 = -2 + 13x + -12x Combine like terms: 13x + -12x = 1x 8 = -2 + 1x Solving 8 = -2 + 1x 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. 8 + -1x = -2 + 1x + -1x Combine like terms: 1x + -1x = 0 8 + -1x = -2 + 0 8 + -1x = -2 Add '-8' to each side of the equation. 8 + -8 + -1x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = -2 + -8 -1x = -2 + -8 Combine like terms: -2 + -8 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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