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Simplifying 1000 + 600 + 3x = 750 + 400 + 8x Combine like terms: 1000 + 600 = 1600 1600 + 3x = 750 + 400 + 8x Combine like terms: 750 + 400 = 1150 1600 + 3x = 1150 + 8x Solving 1600 + 3x = 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. 1600 + 3x + -8x = 1150 + 8x + -8x Combine like terms: 3x + -8x = -5x 1600 + -5x = 1150 + 8x + -8x Combine like terms: 8x + -8x = 0 1600 + -5x = 1150 + 0 1600 + -5x = 1150 Add '-1600' to each side of the equation. 1600 + -1600 + -5x = 1150 + -1600 Combine like terms: 1600 + -1600 = 0 0 + -5x = 1150 + -1600 -5x = 1150 + -1600 Combine like terms: 1150 + -1600 = -450 -5x = -450 Divide each side by '-5'. x = 90 Simplifying x = 90
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