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Simplifying 100x + 45 = 90x + -5 Reorder the terms: 45 + 100x = 90x + -5 Reorder the terms: 45 + 100x = -5 + 90x Solving 45 + 100x = -5 + 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. 45 + 100x + -90x = -5 + 90x + -90x Combine like terms: 100x + -90x = 10x 45 + 10x = -5 + 90x + -90x Combine like terms: 90x + -90x = 0 45 + 10x = -5 + 0 45 + 10x = -5 Add '-45' to each side of the equation. 45 + -45 + 10x = -5 + -45 Combine like terms: 45 + -45 = 0 0 + 10x = -5 + -45 10x = -5 + -45 Combine like terms: -5 + -45 = -50 10x = -50 Divide each side by '10'. x = -5 Simplifying x = -5
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