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Simplifying 1000 + 600 + 6x = 750 + 300 + 8x Combine like terms: 1000 + 600 = 1600 1600 + 6x = 750 + 300 + 8x Combine like terms: 750 + 300 = 1050 1600 + 6x = 1050 + 8x Solving 1600 + 6x = 1050 + 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. 1600 + 6x + -8x = 1050 + 8x + -8x Combine like terms: 6x + -8x = -2x 1600 + -2x = 1050 + 8x + -8x Combine like terms: 8x + -8x = 0 1600 + -2x = 1050 + 0 1600 + -2x = 1050 Add '-1600' to each side of the equation. 1600 + -1600 + -2x = 1050 + -1600 Combine like terms: 1600 + -1600 = 0 0 + -2x = 1050 + -1600 -2x = 1050 + -1600 Combine like terms: 1050 + -1600 = -550 -2x = -550 Divide each side by '-2'. x = 275 Simplifying x = 275
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