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Simplifying 2(7x + -1) = 6(2x + -8) Reorder the terms: 2(-1 + 7x) = 6(2x + -8) (-1 * 2 + 7x * 2) = 6(2x + -8) (-2 + 14x) = 6(2x + -8) Reorder the terms: -2 + 14x = 6(-8 + 2x) -2 + 14x = (-8 * 6 + 2x * 6) -2 + 14x = (-48 + 12x) Solving -2 + 14x = -48 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -2 + 14x + -12x = -48 + 12x + -12x Combine like terms: 14x + -12x = 2x -2 + 2x = -48 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + 2x = -48 + 0 -2 + 2x = -48 Add '2' to each side of the equation. -2 + 2 + 2x = -48 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = -48 + 2 2x = -48 + 2 Combine like terms: -48 + 2 = -46 2x = -46 Divide each side by '2'. x = -23 Simplifying x = -23
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