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Simplifying 6(3x + -1) = -7(x + 8) Reorder the terms: 6(-1 + 3x) = -7(x + 8) (-1 * 6 + 3x * 6) = -7(x + 8) (-6 + 18x) = -7(x + 8) Reorder the terms: -6 + 18x = -7(8 + x) -6 + 18x = (8 * -7 + x * -7) -6 + 18x = (-56 + -7x) Solving -6 + 18x = -56 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -6 + 18x + 7x = -56 + -7x + 7x Combine like terms: 18x + 7x = 25x -6 + 25x = -56 + -7x + 7x Combine like terms: -7x + 7x = 0 -6 + 25x = -56 + 0 -6 + 25x = -56 Add '6' to each side of the equation. -6 + 6 + 25x = -56 + 6 Combine like terms: -6 + 6 = 0 0 + 25x = -56 + 6 25x = -56 + 6 Combine like terms: -56 + 6 = -50 25x = -50 Divide each side by '25'. x = -2 Simplifying x = -2
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