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Simplifying 950 + 800 + 5x = 750 + 400 + 10x Combine like terms: 950 + 800 = 1750 1750 + 5x = 750 + 400 + 10x Combine like terms: 750 + 400 = 1150 1750 + 5x = 1150 + 10x Solving 1750 + 5x = 1150 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 1750 + 5x + -10x = 1150 + 10x + -10x Combine like terms: 5x + -10x = -5x 1750 + -5x = 1150 + 10x + -10x Combine like terms: 10x + -10x = 0 1750 + -5x = 1150 + 0 1750 + -5x = 1150 Add '-1750' to each side of the equation. 1750 + -1750 + -5x = 1150 + -1750 Combine like terms: 1750 + -1750 = 0 0 + -5x = 1150 + -1750 -5x = 1150 + -1750 Combine like terms: 1150 + -1750 = -600 -5x = -600 Divide each side by '-5'. x = 120 Simplifying x = 120
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