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Simplifying 45 + -5x = 5x + -55 Reorder the terms: 45 + -5x = -55 + 5x Solving 45 + -5x = -55 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 45 + -5x + -5x = -55 + 5x + -5x Combine like terms: -5x + -5x = -10x 45 + -10x = -55 + 5x + -5x Combine like terms: 5x + -5x = 0 45 + -10x = -55 + 0 45 + -10x = -55 Add '-45' to each side of the equation. 45 + -45 + -10x = -55 + -45 Combine like terms: 45 + -45 = 0 0 + -10x = -55 + -45 -10x = -55 + -45 Combine like terms: -55 + -45 = -100 -10x = -100 Divide each side by '-10'. x = 10 Simplifying x = 10
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