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Simplifying 950 + 900 + 4x = 850 + 400 + 7x Combine like terms: 950 + 900 = 1850 1850 + 4x = 850 + 400 + 7x Combine like terms: 850 + 400 = 1250 1850 + 4x = 1250 + 7x Solving 1850 + 4x = 1250 + 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. 1850 + 4x + -7x = 1250 + 7x + -7x Combine like terms: 4x + -7x = -3x 1850 + -3x = 1250 + 7x + -7x Combine like terms: 7x + -7x = 0 1850 + -3x = 1250 + 0 1850 + -3x = 1250 Add '-1850' to each side of the equation. 1850 + -1850 + -3x = 1250 + -1850 Combine like terms: 1850 + -1850 = 0 0 + -3x = 1250 + -1850 -3x = 1250 + -1850 Combine like terms: 1250 + -1850 = -600 -3x = -600 Divide each side by '-3'. x = 200 Simplifying x = 200
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