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Simplifying 12x + -4 = 27 + -1(3x + 1) Reorder the terms: -4 + 12x = 27 + -1(3x + 1) Reorder the terms: -4 + 12x = 27 + -1(1 + 3x) -4 + 12x = 27 + (1 * -1 + 3x * -1) -4 + 12x = 27 + (-1 + -3x) Combine like terms: 27 + -1 = 26 -4 + 12x = 26 + -3x Solving -4 + 12x = 26 + -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. -4 + 12x + 3x = 26 + -3x + 3x Combine like terms: 12x + 3x = 15x -4 + 15x = 26 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 15x = 26 + 0 -4 + 15x = 26 Add '4' to each side of the equation. -4 + 4 + 15x = 26 + 4 Combine like terms: -4 + 4 = 0 0 + 15x = 26 + 4 15x = 26 + 4 Combine like terms: 26 + 4 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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