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Simplifying 7x + 12 = 3x + 1 Reorder the terms: 12 + 7x = 3x + 1 Reorder the terms: 12 + 7x = 1 + 3x Solving 12 + 7x = 1 + 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. 12 + 7x + -3x = 1 + 3x + -3x Combine like terms: 7x + -3x = 4x 12 + 4x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 4x = 1 + 0 12 + 4x = 1 Add '-12' to each side of the equation. 12 + -12 + 4x = 1 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 1 + -12 4x = 1 + -12 Combine like terms: 1 + -12 = -11 4x = -11 Divide each side by '4'. x = -2.75 Simplifying x = -2.75
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