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Simplifying -6(x + -4) = 33 + -3x Reorder the terms: -6(-4 + x) = 33 + -3x (-4 * -6 + x * -6) = 33 + -3x (24 + -6x) = 33 + -3x Solving 24 + -6x = 33 + -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. 24 + -6x + 3x = 33 + -3x + 3x Combine like terms: -6x + 3x = -3x 24 + -3x = 33 + -3x + 3x Combine like terms: -3x + 3x = 0 24 + -3x = 33 + 0 24 + -3x = 33 Add '-24' to each side of the equation. 24 + -24 + -3x = 33 + -24 Combine like terms: 24 + -24 = 0 0 + -3x = 33 + -24 -3x = 33 + -24 Combine like terms: 33 + -24 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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