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Simplifying 1150 + 600 + 5x = 750 + 200 + 7x Combine like terms: 1150 + 600 = 1750 1750 + 5x = 750 + 200 + 7x Combine like terms: 750 + 200 = 950 1750 + 5x = 950 + 7x Solving 1750 + 5x = 950 + 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 + 5x + -7x = 950 + 7x + -7x Combine like terms: 5x + -7x = -2x 1750 + -2x = 950 + 7x + -7x Combine like terms: 7x + -7x = 0 1750 + -2x = 950 + 0 1750 + -2x = 950 Add '-1750' to each side of the equation. 1750 + -1750 + -2x = 950 + -1750 Combine like terms: 1750 + -1750 = 0 0 + -2x = 950 + -1750 -2x = 950 + -1750 Combine like terms: 950 + -1750 = -800 -2x = -800 Divide each side by '-2'. x = 400 Simplifying x = 400
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