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Simplifying 6(2x + -1) + -12 = 3(7x + 4) Reorder the terms: 6(-1 + 2x) + -12 = 3(7x + 4) (-1 * 6 + 2x * 6) + -12 = 3(7x + 4) (-6 + 12x) + -12 = 3(7x + 4) Reorder the terms: -6 + -12 + 12x = 3(7x + 4) Combine like terms: -6 + -12 = -18 -18 + 12x = 3(7x + 4) Reorder the terms: -18 + 12x = 3(4 + 7x) -18 + 12x = (4 * 3 + 7x * 3) -18 + 12x = (12 + 21x) Solving -18 + 12x = 12 + 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 = 12 + 21x + -21x Combine like terms: 12x + -21x = -9x -18 + -9x = 12 + 21x + -21x Combine like terms: 21x + -21x = 0 -18 + -9x = 12 + 0 -18 + -9x = 12 Add '18' to each side of the equation. -18 + 18 + -9x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -9x = 12 + 18 -9x = 12 + 18 Combine like terms: 12 + 18 = 30 -9x = 30 Divide each side by '-9'. x = -3.333333333 Simplifying x = -3.333333333
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