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Simplifying 1100 + 600 + 5x = 700 + 400 + 8x Combine like terms: 1100 + 600 = 1700 1700 + 5x = 700 + 400 + 8x Combine like terms: 700 + 400 = 1100 1700 + 5x = 1100 + 8x Solving 1700 + 5x = 1100 + 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. 1700 + 5x + -8x = 1100 + 8x + -8x Combine like terms: 5x + -8x = -3x 1700 + -3x = 1100 + 8x + -8x Combine like terms: 8x + -8x = 0 1700 + -3x = 1100 + 0 1700 + -3x = 1100 Add '-1700' to each side of the equation. 1700 + -1700 + -3x = 1100 + -1700 Combine like terms: 1700 + -1700 = 0 0 + -3x = 1100 + -1700 -3x = 1100 + -1700 Combine like terms: 1100 + -1700 = -600 -3x = -600 Divide each side by '-3'. x = 200 Simplifying x = 200
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