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Simplifying -6(2x + 7) = (8x + -2) Reorder the terms: -6(7 + 2x) = (8x + -2) (7 * -6 + 2x * -6) = (8x + -2) (-42 + -12x) = (8x + -2) Reorder the terms: -42 + -12x = (-2 + 8x) Remove parenthesis around (-2 + 8x) -42 + -12x = -2 + 8x Solving -42 + -12x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -42 + -12x + -8x = -2 + 8x + -8x Combine like terms: -12x + -8x = -20x -42 + -20x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 -42 + -20x = -2 + 0 -42 + -20x = -2 Add '42' to each side of the equation. -42 + 42 + -20x = -2 + 42 Combine like terms: -42 + 42 = 0 0 + -20x = -2 + 42 -20x = -2 + 42 Combine like terms: -2 + 42 = 40 -20x = 40 Divide each side by '-20'. x = -2 Simplifying x = -2
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