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Simplifying 6x + 25 = 15x + -83 Reorder the terms: 25 + 6x = 15x + -83 Reorder the terms: 25 + 6x = -83 + 15x Solving 25 + 6x = -83 + 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. 25 + 6x + -15x = -83 + 15x + -15x Combine like terms: 6x + -15x = -9x 25 + -9x = -83 + 15x + -15x Combine like terms: 15x + -15x = 0 25 + -9x = -83 + 0 25 + -9x = -83 Add '-25' to each side of the equation. 25 + -25 + -9x = -83 + -25 Combine like terms: 25 + -25 = 0 0 + -9x = -83 + -25 -9x = -83 + -25 Combine like terms: -83 + -25 = -108 -9x = -108 Divide each side by '-9'. x = 12 Simplifying x = 12
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