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Simplifying 3(x + 2) + -4(3x + 5) = 12x + 1 Reorder the terms: 3(2 + x) + -4(3x + 5) = 12x + 1 (2 * 3 + x * 3) + -4(3x + 5) = 12x + 1 (6 + 3x) + -4(3x + 5) = 12x + 1 Reorder the terms: 6 + 3x + -4(5 + 3x) = 12x + 1 6 + 3x + (5 * -4 + 3x * -4) = 12x + 1 6 + 3x + (-20 + -12x) = 12x + 1 Reorder the terms: 6 + -20 + 3x + -12x = 12x + 1 Combine like terms: 6 + -20 = -14 -14 + 3x + -12x = 12x + 1 Combine like terms: 3x + -12x = -9x -14 + -9x = 12x + 1 Reorder the terms: -14 + -9x = 1 + 12x Solving -14 + -9x = 1 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -14 + -9x + -12x = 1 + 12x + -12x Combine like terms: -9x + -12x = -21x -14 + -21x = 1 + 12x + -12x Combine like terms: 12x + -12x = 0 -14 + -21x = 1 + 0 -14 + -21x = 1 Add '14' to each side of the equation. -14 + 14 + -21x = 1 + 14 Combine like terms: -14 + 14 = 0 0 + -21x = 1 + 14 -21x = 1 + 14 Combine like terms: 1 + 14 = 15 -21x = 15 Divide each side by '-21'. x = -0.7142857143 Simplifying x = -0.7142857143
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