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Simplifying -3(7x + 1) + -6(8 + -4x) = -33 Reorder the terms: -3(1 + 7x) + -6(8 + -4x) = -33 (1 * -3 + 7x * -3) + -6(8 + -4x) = -33 (-3 + -21x) + -6(8 + -4x) = -33 -3 + -21x + (8 * -6 + -4x * -6) = -33 -3 + -21x + (-48 + 24x) = -33 Reorder the terms: -3 + -48 + -21x + 24x = -33 Combine like terms: -3 + -48 = -51 -51 + -21x + 24x = -33 Combine like terms: -21x + 24x = 3x -51 + 3x = -33 Solving -51 + 3x = -33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 3x = -33 + 51 Combine like terms: -51 + 51 = 0 0 + 3x = -33 + 51 3x = -33 + 51 Combine like terms: -33 + 51 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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