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Simplifying 1100 + 800 + 5x = 750 + 400 + 8x Combine like terms: 1100 + 800 = 1900 1900 + 5x = 750 + 400 + 8x Combine like terms: 750 + 400 = 1150 1900 + 5x = 1150 + 8x Solving 1900 + 5x = 1150 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 1900 + 5x + -8x = 1150 + 8x + -8x Combine like terms: 5x + -8x = -3x 1900 + -3x = 1150 + 8x + -8x Combine like terms: 8x + -8x = 0 1900 + -3x = 1150 + 0 1900 + -3x = 1150 Add '-1900' to each side of the equation. 1900 + -1900 + -3x = 1150 + -1900 Combine like terms: 1900 + -1900 = 0 0 + -3x = 1150 + -1900 -3x = 1150 + -1900 Combine like terms: 1150 + -1900 = -750 -3x = -750 Divide each side by '-3'. x = 250 Simplifying x = 250
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