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Simplifying 6(2x + -7) + -6 = -1(2x + 1) Reorder the terms: 6(-7 + 2x) + -6 = -1(2x + 1) (-7 * 6 + 2x * 6) + -6 = -1(2x + 1) (-42 + 12x) + -6 = -1(2x + 1) Reorder the terms: -42 + -6 + 12x = -1(2x + 1) Combine like terms: -42 + -6 = -48 -48 + 12x = -1(2x + 1) Reorder the terms: -48 + 12x = -1(1 + 2x) -48 + 12x = (1 * -1 + 2x * -1) -48 + 12x = (-1 + -2x) Solving -48 + 12x = -1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -48 + 12x + 2x = -1 + -2x + 2x Combine like terms: 12x + 2x = 14x -48 + 14x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 -48 + 14x = -1 + 0 -48 + 14x = -1 Add '48' to each side of the equation. -48 + 48 + 14x = -1 + 48 Combine like terms: -48 + 48 = 0 0 + 14x = -1 + 48 14x = -1 + 48 Combine like terms: -1 + 48 = 47 14x = 47 Divide each side by '14'. x = 3.357142857 Simplifying x = 3.357142857
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