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Simplifying 6(2x + -1) + -12 = 3(7x + 6) Reorder the terms: 6(-1 + 2x) + -12 = 3(7x + 6) (-1 * 6 + 2x * 6) + -12 = 3(7x + 6) (-6 + 12x) + -12 = 3(7x + 6) Reorder the terms: -6 + -12 + 12x = 3(7x + 6) Combine like terms: -6 + -12 = -18 -18 + 12x = 3(7x + 6) Reorder the terms: -18 + 12x = 3(6 + 7x) -18 + 12x = (6 * 3 + 7x * 3) -18 + 12x = (18 + 21x) Solving -18 + 12x = 18 + 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. -18 + 12x + -21x = 18 + 21x + -21x Combine like terms: 12x + -21x = -9x -18 + -9x = 18 + 21x + -21x Combine like terms: 21x + -21x = 0 -18 + -9x = 18 + 0 -18 + -9x = 18 Add '18' to each side of the equation. -18 + 18 + -9x = 18 + 18 Combine like terms: -18 + 18 = 0 0 + -9x = 18 + 18 -9x = 18 + 18 Combine like terms: 18 + 18 = 36 -9x = 36 Divide each side by '-9'. x = -4 Simplifying x = -4
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