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Simplifying 7(3x + -2) = 6(2x + 1) Reorder the terms: 7(-2 + 3x) = 6(2x + 1) (-2 * 7 + 3x * 7) = 6(2x + 1) (-14 + 21x) = 6(2x + 1) Reorder the terms: -14 + 21x = 6(1 + 2x) -14 + 21x = (1 * 6 + 2x * 6) -14 + 21x = (6 + 12x) Solving -14 + 21x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -14 + 21x + -12x = 6 + 12x + -12x Combine like terms: 21x + -12x = 9x -14 + 9x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -14 + 9x = 6 + 0 -14 + 9x = 6 Add '14' to each side of the equation. -14 + 14 + 9x = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 9x = 6 + 14 9x = 6 + 14 Combine like terms: 6 + 14 = 20 9x = 20 Divide each side by '9'. x = 2.222222222 Simplifying x = 2.222222222
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