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Simplifying -5 + 10 = 13x + -2 + -12x Combine like terms: -5 + 10 = 5 5 = 13x + -2 + -12x Reorder the terms: 5 = -2 + 13x + -12x Combine like terms: 13x + -12x = 1x 5 = -2 + 1x Solving 5 = -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. 5 + -1x = -2 + 1x + -1x Combine like terms: 1x + -1x = 0 5 + -1x = -2 + 0 5 + -1x = -2 Add '-5' to each side of the equation. 5 + -5 + -1x = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -2 + -5 -1x = -2 + -5 Combine like terms: -2 + -5 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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