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Simplifying 7x + 1 = 3x + 37 Reorder the terms: 1 + 7x = 3x + 37 Reorder the terms: 1 + 7x = 37 + 3x Solving 1 + 7x = 37 + 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. 1 + 7x + -3x = 37 + 3x + -3x Combine like terms: 7x + -3x = 4x 1 + 4x = 37 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 4x = 37 + 0 1 + 4x = 37 Add '-1' to each side of the equation. 1 + -1 + 4x = 37 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 37 + -1 4x = 37 + -1 Combine like terms: 37 + -1 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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