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Simplifying 1150 + 600 + 4x = 800 + 200 + 7x Combine like terms: 1150 + 600 = 1750 1750 + 4x = 800 + 200 + 7x Combine like terms: 800 + 200 = 1000 1750 + 4x = 1000 + 7x Solving 1750 + 4x = 1000 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 1750 + 4x + -7x = 1000 + 7x + -7x Combine like terms: 4x + -7x = -3x 1750 + -3x = 1000 + 7x + -7x Combine like terms: 7x + -7x = 0 1750 + -3x = 1000 + 0 1750 + -3x = 1000 Add '-1750' to each side of the equation. 1750 + -1750 + -3x = 1000 + -1750 Combine like terms: 1750 + -1750 = 0 0 + -3x = 1000 + -1750 -3x = 1000 + -1750 Combine like terms: 1000 + -1750 = -750 -3x = -750 Divide each side by '-3'. x = 250 Simplifying x = 250
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