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Simplifying 3(7x + -2) + -14x = 2(3 + -7x) + 12 Reorder the terms: 3(-2 + 7x) + -14x = 2(3 + -7x) + 12 (-2 * 3 + 7x * 3) + -14x = 2(3 + -7x) + 12 (-6 + 21x) + -14x = 2(3 + -7x) + 12 Combine like terms: 21x + -14x = 7x -6 + 7x = 2(3 + -7x) + 12 -6 + 7x = (3 * 2 + -7x * 2) + 12 -6 + 7x = (6 + -14x) + 12 Reorder the terms: -6 + 7x = 6 + 12 + -14x Combine like terms: 6 + 12 = 18 -6 + 7x = 18 + -14x Solving -6 + 7x = 18 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -6 + 7x + 14x = 18 + -14x + 14x Combine like terms: 7x + 14x = 21x -6 + 21x = 18 + -14x + 14x Combine like terms: -14x + 14x = 0 -6 + 21x = 18 + 0 -6 + 21x = 18 Add '6' to each side of the equation. -6 + 6 + 21x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 21x = 18 + 6 21x = 18 + 6 Combine like terms: 18 + 6 = 24 21x = 24 Divide each side by '21'. x = 1.142857143 Simplifying x = 1.142857143
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