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Simplifying -16x + -82 = -19x + 32 Reorder the terms: -82 + -16x = -19x + 32 Reorder the terms: -82 + -16x = 32 + -19x Solving -82 + -16x = 32 + -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. -82 + -16x + 19x = 32 + -19x + 19x Combine like terms: -16x + 19x = 3x -82 + 3x = 32 + -19x + 19x Combine like terms: -19x + 19x = 0 -82 + 3x = 32 + 0 -82 + 3x = 32 Add '82' to each side of the equation. -82 + 82 + 3x = 32 + 82 Combine like terms: -82 + 82 = 0 0 + 3x = 32 + 82 3x = 32 + 82 Combine like terms: 32 + 82 = 114 3x = 114 Divide each side by '3'. x = 38 Simplifying x = 38
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