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Simplifying 100 + -10x + 2 + -7x = 90 + -20x Reorder the terms: 100 + 2 + -10x + -7x = 90 + -20x Combine like terms: 100 + 2 = 102 102 + -10x + -7x = 90 + -20x Combine like terms: -10x + -7x = -17x 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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