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Simplifying 6(7x + -1) = 2(3x + 11) Reorder the terms: 6(-1 + 7x) = 2(3x + 11) (-1 * 6 + 7x * 6) = 2(3x + 11) (-6 + 42x) = 2(3x + 11) Reorder the terms: -6 + 42x = 2(11 + 3x) -6 + 42x = (11 * 2 + 3x * 2) -6 + 42x = (22 + 6x) Solving -6 + 42x = 22 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 42x + -6x = 22 + 6x + -6x Combine like terms: 42x + -6x = 36x -6 + 36x = 22 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 36x = 22 + 0 -6 + 36x = 22 Add '6' to each side of the equation. -6 + 6 + 36x = 22 + 6 Combine like terms: -6 + 6 = 0 0 + 36x = 22 + 6 36x = 22 + 6 Combine like terms: 22 + 6 = 28 36x = 28 Divide each side by '36'. x = 0.7777777778 Simplifying x = 0.7777777778
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