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Simplifying -6x + -180 + -2x = 3x + -1x + 100 Reorder the terms: -180 + -6x + -2x = 3x + -1x + 100 Combine like terms: -6x + -2x = -8x -180 + -8x = 3x + -1x + 100 Reorder the terms: -180 + -8x = 100 + 3x + -1x Combine like terms: 3x + -1x = 2x -180 + -8x = 100 + 2x Solving -180 + -8x = 100 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -180 + -8x + -2x = 100 + 2x + -2x Combine like terms: -8x + -2x = -10x -180 + -10x = 100 + 2x + -2x Combine like terms: 2x + -2x = 0 -180 + -10x = 100 + 0 -180 + -10x = 100 Add '180' to each side of the equation. -180 + 180 + -10x = 100 + 180 Combine like terms: -180 + 180 = 0 0 + -10x = 100 + 180 -10x = 100 + 180 Combine like terms: 100 + 180 = 280 -10x = 280 Divide each side by '-10'. x = -28 Simplifying x = -28
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