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Simplifying 12x + 1 = 6 + 5x + (4x + 1) Reorder the terms: 1 + 12x = 6 + 5x + (4x + 1) Reorder the terms: 1 + 12x = 6 + 5x + (1 + 4x) Remove parenthesis around (1 + 4x) 1 + 12x = 6 + 5x + 1 + 4x Reorder the terms: 1 + 12x = 6 + 1 + 5x + 4x Combine like terms: 6 + 1 = 7 1 + 12x = 7 + 5x + 4x Combine like terms: 5x + 4x = 9x 1 + 12x = 7 + 9x Solving 1 + 12x = 7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 1 + 12x + -9x = 7 + 9x + -9x Combine like terms: 12x + -9x = 3x 1 + 3x = 7 + 9x + -9x Combine like terms: 9x + -9x = 0 1 + 3x = 7 + 0 1 + 3x = 7 Add '-1' to each side of the equation. 1 + -1 + 3x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 7 + -1 3x = 7 + -1 Combine like terms: 7 + -1 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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