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Simplifying -3 + 13 = 13x + -5 + -12x Combine like terms: -3 + 13 = 10 10 = 13x + -5 + -12x Reorder the terms: 10 = -5 + 13x + -12x Combine like terms: 13x + -12x = 1x 10 = -5 + 1x Solving 10 = -5 + 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. 10 + -1x = -5 + 1x + -1x Combine like terms: 1x + -1x = 0 10 + -1x = -5 + 0 10 + -1x = -5 Add '-10' to each side of the equation. 10 + -10 + -1x = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = -5 + -10 -1x = -5 + -10 Combine like terms: -5 + -10 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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