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Simplifying 1000 + 700 + 6x = 800 + 200 + 8x Combine like terms: 1000 + 700 = 1700 1700 + 6x = 800 + 200 + 8x Combine like terms: 800 + 200 = 1000 1700 + 6x = 1000 + 8x Solving 1700 + 6x = 1000 + 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 + 6x + -8x = 1000 + 8x + -8x Combine like terms: 6x + -8x = -2x 1700 + -2x = 1000 + 8x + -8x Combine like terms: 8x + -8x = 0 1700 + -2x = 1000 + 0 1700 + -2x = 1000 Add '-1700' to each side of the equation. 1700 + -1700 + -2x = 1000 + -1700 Combine like terms: 1700 + -1700 = 0 0 + -2x = 1000 + -1700 -2x = 1000 + -1700 Combine like terms: 1000 + -1700 = -700 -2x = -700 Divide each side by '-2'. x = 350 Simplifying x = 350
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