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Simplifying 7x + 150 = 3x + 250 Reorder the terms: 150 + 7x = 3x + 250 Reorder the terms: 150 + 7x = 250 + 3x Solving 150 + 7x = 250 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 150 + 7x + -3x = 250 + 3x + -3x Combine like terms: 7x + -3x = 4x 150 + 4x = 250 + 3x + -3x Combine like terms: 3x + -3x = 0 150 + 4x = 250 + 0 150 + 4x = 250 Add '-150' to each side of the equation. 150 + -150 + 4x = 250 + -150 Combine like terms: 150 + -150 = 0 0 + 4x = 250 + -150 4x = 250 + -150 Combine like terms: 250 + -150 = 100 4x = 100 Divide each side by '4'. x = 25 Simplifying x = 25
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