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Simplifying 3x + x + 1 = 12 + -7x Reorder the terms: 1 + 3x + x = 12 + -7x Combine like terms: 3x + x = 4x 1 + 4x = 12 + -7x Solving 1 + 4x = 12 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 1 + 4x + 7x = 12 + -7x + 7x Combine like terms: 4x + 7x = 11x 1 + 11x = 12 + -7x + 7x Combine like terms: -7x + 7x = 0 1 + 11x = 12 + 0 1 + 11x = 12 Add '-1' to each side of the equation. 1 + -1 + 11x = 12 + -1 Combine like terms: 1 + -1 = 0 0 + 11x = 12 + -1 11x = 12 + -1 Combine like terms: 12 + -1 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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