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Simplifying 15x + -82 = -4x + 32 Reorder the terms: -82 + 15x = -4x + 32 Reorder the terms: -82 + 15x = 32 + -4x Solving -82 + 15x = 32 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -82 + 15x + 4x = 32 + -4x + 4x Combine like terms: 15x + 4x = 19x -82 + 19x = 32 + -4x + 4x Combine like terms: -4x + 4x = 0 -82 + 19x = 32 + 0 -82 + 19x = 32 Add '82' to each side of the equation. -82 + 82 + 19x = 32 + 82 Combine like terms: -82 + 82 = 0 0 + 19x = 32 + 82 19x = 32 + 82 Combine like terms: 32 + 82 = 114 19x = 114 Divide each side by '19'. x = 6 Simplifying x = 6
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