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Simplifying 1100 + 600 + 6x = 650 + 500 + 8x Combine like terms: 1100 + 600 = 1700 1700 + 6x = 650 + 500 + 8x Combine like terms: 650 + 500 = 1150 1700 + 6x = 1150 + 8x Solving 1700 + 6x = 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. 1700 + 6x + -8x = 1150 + 8x + -8x Combine like terms: 6x + -8x = -2x 1700 + -2x = 1150 + 8x + -8x Combine like terms: 8x + -8x = 0 1700 + -2x = 1150 + 0 1700 + -2x = 1150 Add '-1700' to each side of the equation. 1700 + -1700 + -2x = 1150 + -1700 Combine like terms: 1700 + -1700 = 0 0 + -2x = 1150 + -1700 -2x = 1150 + -1700 Combine like terms: 1150 + -1700 = -550 -2x = -550 Divide each side by '-2'. x = 275 Simplifying x = 275
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