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Simplifying 7x + 1 = 3x + 45 Reorder the terms: 1 + 7x = 3x + 45 Reorder the terms: 1 + 7x = 45 + 3x Solving 1 + 7x = 45 + 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 = 45 + 3x + -3x Combine like terms: 7x + -3x = 4x 1 + 4x = 45 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 4x = 45 + 0 1 + 4x = 45 Add '-1' to each side of the equation. 1 + -1 + 4x = 45 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 45 + -1 4x = 45 + -1 Combine like terms: 45 + -1 = 44 4x = 44 Divide each side by '4'. x = 11 Simplifying x = 11
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