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Simplifying 2 + -6(3x + -7) = 2 + 3x Reorder the terms: 2 + -6(-7 + 3x) = 2 + 3x 2 + (-7 * -6 + 3x * -6) = 2 + 3x 2 + (42 + -18x) = 2 + 3x Combine like terms: 2 + 42 = 44 44 + -18x = 2 + 3x Solving 44 + -18x = 2 + 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. 44 + -18x + -3x = 2 + 3x + -3x Combine like terms: -18x + -3x = -21x 44 + -21x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 44 + -21x = 2 + 0 44 + -21x = 2 Add '-44' to each side of the equation. 44 + -44 + -21x = 2 + -44 Combine like terms: 44 + -44 = 0 0 + -21x = 2 + -44 -21x = 2 + -44 Combine like terms: 2 + -44 = -42 -21x = -42 Divide each side by '-21'. x = 2 Simplifying x = 2
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