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Simplifying 6 * 3 + 1 + -7 * 3x + 2 = 3x + 2 + -3x + 4 + 1 Multiply 6 * 3 18 + 1 + -7 * 3x + 2 = 3x + 2 + -3x + 4 + 1 Multiply -7 * 3 18 + 1 + -21x + 2 = 3x + 2 + -3x + 4 + 1 Reorder the terms: 18 + 1 + 2 + -21x = 3x + 2 + -3x + 4 + 1 Combine like terms: 18 + 1 = 19 19 + 2 + -21x = 3x + 2 + -3x + 4 + 1 Combine like terms: 19 + 2 = 21 21 + -21x = 3x + 2 + -3x + 4 + 1 Reorder the terms: 21 + -21x = 2 + 4 + 1 + 3x + -3x Combine like terms: 2 + 4 = 6 21 + -21x = 6 + 1 + 3x + -3x Combine like terms: 6 + 1 = 7 21 + -21x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 21 + -21x = 7 + 0 21 + -21x = 7 Solving 21 + -21x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -21x = 7 + -21 Combine like terms: 21 + -21 = 0 0 + -21x = 7 + -21 -21x = 7 + -21 Combine like terms: 7 + -21 = -14 -21x = -14 Divide each side by '-21'. x = 0.6666666667 Simplifying x = 0.6666666667
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