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Simplifying -24x + -12 = 42 + -33x Reorder the terms: -12 + -24x = 42 + -33x Solving -12 + -24x = 42 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. -12 + -24x + 33x = 42 + -33x + 33x Combine like terms: -24x + 33x = 9x -12 + 9x = 42 + -33x + 33x Combine like terms: -33x + 33x = 0 -12 + 9x = 42 + 0 -12 + 9x = 42 Add '12' to each side of the equation. -12 + 12 + 9x = 42 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 42 + 12 9x = 42 + 12 Combine like terms: 42 + 12 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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