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Simplifying 27X + -90 + 40X + 60 + 20 = 3X + 18 + 16 + 68X Reorder the terms: -90 + 60 + 20 + 27X + 40X = 3X + 18 + 16 + 68X Combine like terms: -90 + 60 = -30 -30 + 20 + 27X + 40X = 3X + 18 + 16 + 68X Combine like terms: -30 + 20 = -10 -10 + 27X + 40X = 3X + 18 + 16 + 68X Combine like terms: 27X + 40X = 67X -10 + 67X = 3X + 18 + 16 + 68X Reorder the terms: -10 + 67X = 18 + 16 + 3X + 68X Combine like terms: 18 + 16 = 34 -10 + 67X = 34 + 3X + 68X Combine like terms: 3X + 68X = 71X -10 + 67X = 34 + 71X Solving -10 + 67X = 34 + 71X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-71X' to each side of the equation. -10 + 67X + -71X = 34 + 71X + -71X Combine like terms: 67X + -71X = -4X -10 + -4X = 34 + 71X + -71X Combine like terms: 71X + -71X = 0 -10 + -4X = 34 + 0 -10 + -4X = 34 Add '10' to each side of the equation. -10 + 10 + -4X = 34 + 10 Combine like terms: -10 + 10 = 0 0 + -4X = 34 + 10 -4X = 34 + 10 Combine like terms: 34 + 10 = 44 -4X = 44 Divide each side by '-4'. X = -11 Simplifying X = -11
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