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Simplifying 1x + -100 + 18 = 5x + -14 Reorder the terms: -100 + 18 + 1x = 5x + -14 Combine like terms: -100 + 18 = -82 -82 + 1x = 5x + -14 Reorder the terms: -82 + 1x = -14 + 5x Solving -82 + 1x = -14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -82 + 1x + -5x = -14 + 5x + -5x Combine like terms: 1x + -5x = -4x -82 + -4x = -14 + 5x + -5x Combine like terms: 5x + -5x = 0 -82 + -4x = -14 + 0 -82 + -4x = -14 Add '82' to each side of the equation. -82 + 82 + -4x = -14 + 82 Combine like terms: -82 + 82 = 0 0 + -4x = -14 + 82 -4x = -14 + 82 Combine like terms: -14 + 82 = 68 -4x = 68 Divide each side by '-4'. x = -17 Simplifying x = -17
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