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Simplifying 82 + -7x + 5x = 100 + x + -84 Combine like terms: -7x + 5x = -2x 82 + -2x = 100 + x + -84 Reorder the terms: 82 + -2x = 100 + -84 + x Combine like terms: 100 + -84 = 16 82 + -2x = 16 + x Solving 82 + -2x = 16 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 82 + -2x + -1x = 16 + x + -1x Combine like terms: -2x + -1x = -3x 82 + -3x = 16 + x + -1x Combine like terms: x + -1x = 0 82 + -3x = 16 + 0 82 + -3x = 16 Add '-82' to each side of the equation. 82 + -82 + -3x = 16 + -82 Combine like terms: 82 + -82 = 0 0 + -3x = 16 + -82 -3x = 16 + -82 Combine like terms: 16 + -82 = -66 -3x = -66 Divide each side by '-3'. x = 22 Simplifying x = 22
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