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Simplifying -3(7x + 2) = -5(9 + -1x) + -8x Reorder the terms: -3(2 + 7x) = -5(9 + -1x) + -8x (2 * -3 + 7x * -3) = -5(9 + -1x) + -8x (-6 + -21x) = -5(9 + -1x) + -8x -6 + -21x = (9 * -5 + -1x * -5) + -8x -6 + -21x = (-45 + 5x) + -8x Combine like terms: 5x + -8x = -3x -6 + -21x = -45 + -3x Solving -6 + -21x = -45 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -6 + -21x + 3x = -45 + -3x + 3x Combine like terms: -21x + 3x = -18x -6 + -18x = -45 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + -18x = -45 + 0 -6 + -18x = -45 Add '6' to each side of the equation. -6 + 6 + -18x = -45 + 6 Combine like terms: -6 + 6 = 0 0 + -18x = -45 + 6 -18x = -45 + 6 Combine like terms: -45 + 6 = -39 -18x = -39 Divide each side by '-18'. x = 2.166666667 Simplifying x = 2.166666667
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