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Simplifying 1100 + 900 + 6x = 800 + 400 + 8x Combine like terms: 1100 + 900 = 2000 2000 + 6x = 800 + 400 + 8x Combine like terms: 800 + 400 = 1200 2000 + 6x = 1200 + 8x Solving 2000 + 6x = 1200 + 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. 2000 + 6x + -8x = 1200 + 8x + -8x Combine like terms: 6x + -8x = -2x 2000 + -2x = 1200 + 8x + -8x Combine like terms: 8x + -8x = 0 2000 + -2x = 1200 + 0 2000 + -2x = 1200 Add '-2000' to each side of the equation. 2000 + -2000 + -2x = 1200 + -2000 Combine like terms: 2000 + -2000 = 0 0 + -2x = 1200 + -2000 -2x = 1200 + -2000 Combine like terms: 1200 + -2000 = -800 -2x = -800 Divide each side by '-2'. x = 400 Simplifying x = 400
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