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Simplifying 7(2x + -1) = 3(1 + -7x) Reorder the terms: 7(-1 + 2x) = 3(1 + -7x) (-1 * 7 + 2x * 7) = 3(1 + -7x) (-7 + 14x) = 3(1 + -7x) -7 + 14x = (1 * 3 + -7x * 3) -7 + 14x = (3 + -21x) Solving -7 + 14x = 3 + -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 + 14x + 21x = 3 + -21x + 21x Combine like terms: 14x + 21x = 35x -7 + 35x = 3 + -21x + 21x Combine like terms: -21x + 21x = 0 -7 + 35x = 3 + 0 -7 + 35x = 3 Add '7' to each side of the equation. -7 + 7 + 35x = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 35x = 3 + 7 35x = 3 + 7 Combine like terms: 3 + 7 = 10 35x = 10 Divide each side by '35'. x = 0.2857142857 Simplifying x = 0.2857142857
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