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Simplifying 6 + (2x + -1) + -12 = 3(7x + 4) Reorder the terms: 6 + (-1 + 2x) + -12 = 3(7x + 4) Remove parenthesis around (-1 + 2x) 6 + -1 + 2x + -12 = 3(7x + 4) Reorder the terms: 6 + -1 + -12 + 2x = 3(7x + 4) Combine like terms: 6 + -1 = 5 5 + -12 + 2x = 3(7x + 4) Combine like terms: 5 + -12 = -7 -7 + 2x = 3(7x + 4) Reorder the terms: -7 + 2x = 3(4 + 7x) -7 + 2x = (4 * 3 + 7x * 3) -7 + 2x = (12 + 21x) Solving -7 + 2x = 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. -7 + 2x + -21x = 12 + 21x + -21x Combine like terms: 2x + -21x = -19x -7 + -19x = 12 + 21x + -21x Combine like terms: 21x + -21x = 0 -7 + -19x = 12 + 0 -7 + -19x = 12 Add '7' to each side of the equation. -7 + 7 + -19x = 12 + 7 Combine like terms: -7 + 7 = 0 0 + -19x = 12 + 7 -19x = 12 + 7 Combine like terms: 12 + 7 = 19 -19x = 19 Divide each side by '-19'. x = -1 Simplifying x = -1
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