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Simplifying (2 + -7x) + (100 + -10x) = (90 + -20x) Remove parenthesis around (2 + -7x) 2 + -7x + (100 + -10x) = (90 + -20x) Remove parenthesis around (100 + -10x) 2 + -7x + 100 + -10x = (90 + -20x) Reorder the terms: 2 + 100 + -7x + -10x = (90 + -20x) Combine like terms: 2 + 100 = 102 102 + -7x + -10x = (90 + -20x) Combine like terms: -7x + -10x = -17x 102 + -17x = (90 + -20x) Remove parenthesis around (90 + -20x) 102 + -17x = 90 + -20x Solving 102 + -17x = 90 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 102 + -17x + 20x = 90 + -20x + 20x Combine like terms: -17x + 20x = 3x 102 + 3x = 90 + -20x + 20x Combine like terms: -20x + 20x = 0 102 + 3x = 90 + 0 102 + 3x = 90 Add '-102' to each side of the equation. 102 + -102 + 3x = 90 + -102 Combine like terms: 102 + -102 = 0 0 + 3x = 90 + -102 3x = 90 + -102 Combine like terms: 90 + -102 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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