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Simplifying 3(6x + 2) = 3(7x + -2) Reorder the terms: 3(2 + 6x) = 3(7x + -2) (2 * 3 + 6x * 3) = 3(7x + -2) (6 + 18x) = 3(7x + -2) Reorder the terms: 6 + 18x = 3(-2 + 7x) 6 + 18x = (-2 * 3 + 7x * 3) 6 + 18x = (-6 + 21x) Solving 6 + 18x = -6 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 6 + 18x + -21x = -6 + 21x + -21x Combine like terms: 18x + -21x = -3x 6 + -3x = -6 + 21x + -21x Combine like terms: 21x + -21x = 0 6 + -3x = -6 + 0 6 + -3x = -6 Add '-6' to each side of the equation. 6 + -6 + -3x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -6 + -6 -3x = -6 + -6 Combine like terms: -6 + -6 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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