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Simplifying 3x + 38 = 13x + -82 Reorder the terms: 38 + 3x = 13x + -82 Reorder the terms: 38 + 3x = -82 + 13x Solving 38 + 3x = -82 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 38 + 3x + -13x = -82 + 13x + -13x Combine like terms: 3x + -13x = -10x 38 + -10x = -82 + 13x + -13x Combine like terms: 13x + -13x = 0 38 + -10x = -82 + 0 38 + -10x = -82 Add '-38' to each side of the equation. 38 + -38 + -10x = -82 + -38 Combine like terms: 38 + -38 = 0 0 + -10x = -82 + -38 -10x = -82 + -38 Combine like terms: -82 + -38 = -120 -10x = -120 Divide each side by '-10'. x = 12 Simplifying x = 12
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