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Simplifying 6(3x + -1) + 3(-8 + -7x) = 0 Reorder the terms: 6(-1 + 3x) + 3(-8 + -7x) = 0 (-1 * 6 + 3x * 6) + 3(-8 + -7x) = 0 (-6 + 18x) + 3(-8 + -7x) = 0 -6 + 18x + (-8 * 3 + -7x * 3) = 0 -6 + 18x + (-24 + -21x) = 0 Reorder the terms: -6 + -24 + 18x + -21x = 0 Combine like terms: -6 + -24 = -30 -30 + 18x + -21x = 0 Combine like terms: 18x + -21x = -3x -30 + -3x = 0 Solving -30 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -3x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -3x = 0 + 30 -3x = 0 + 30 Combine like terms: 0 + 30 = 30 -3x = 30 Divide each side by '-3'. x = -10 Simplifying x = -10
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