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Simplifying 5x + 400 = 8x + 250 Reorder the terms: 400 + 5x = 8x + 250 Reorder the terms: 400 + 5x = 250 + 8x Solving 400 + 5x = 250 + 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. 400 + 5x + -8x = 250 + 8x + -8x Combine like terms: 5x + -8x = -3x 400 + -3x = 250 + 8x + -8x Combine like terms: 8x + -8x = 0 400 + -3x = 250 + 0 400 + -3x = 250 Add '-400' to each side of the equation. 400 + -400 + -3x = 250 + -400 Combine like terms: 400 + -400 = 0 0 + -3x = 250 + -400 -3x = 250 + -400 Combine like terms: 250 + -400 = -150 -3x = -150 Divide each side by '-3'. x = 50 Simplifying x = 50
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