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Simplifying 100x + 10 = 90x + -50 Reorder the terms: 10 + 100x = 90x + -50 Reorder the terms: 10 + 100x = -50 + 90x Solving 10 + 100x = -50 + 90x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90x' to each side of the equation. 10 + 100x + -90x = -50 + 90x + -90x Combine like terms: 100x + -90x = 10x 10 + 10x = -50 + 90x + -90x Combine like terms: 90x + -90x = 0 10 + 10x = -50 + 0 10 + 10x = -50 Add '-10' to each side of the equation. 10 + -10 + 10x = -50 + -10 Combine like terms: 10 + -10 = 0 0 + 10x = -50 + -10 10x = -50 + -10 Combine like terms: -50 + -10 = -60 10x = -60 Divide each side by '10'. x = -6 Simplifying x = -6
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