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Simplifying (-15x) + 125 = 19x + -82 Reorder the terms: 125 + (-15x) = 19x + -82 Reorder the terms: 125 + (-15x) = -82 + 19x Solving 125 + (-15x) = -82 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 125 + (-15x) + -19x = -82 + 19x + -19x Combine like terms: (-15x) + -19x = -34x 125 + -34x = -82 + 19x + -19x Combine like terms: 19x + -19x = 0 125 + -34x = -82 + 0 125 + -34x = -82 Add '-125' to each side of the equation. 125 + -125 + -34x = -82 + -125 Combine like terms: 125 + -125 = 0 0 + -34x = -82 + -125 -34x = -82 + -125 Combine like terms: -82 + -125 = -207 -34x = -207 Divide each side by '-34'. x = 6.088235294 Simplifying x = 6.088235294
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