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Simplifying 5x + 38 = 15x + -82 Reorder the terms: 38 + 5x = 15x + -82 Reorder the terms: 38 + 5x = -82 + 15x Solving 38 + 5x = -82 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 38 + 5x + -15x = -82 + 15x + -15x Combine like terms: 5x + -15x = -10x 38 + -10x = -82 + 15x + -15x Combine like terms: 15x + -15x = 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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