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Simplifying -5x + 33 = 4x + -12 Reorder the terms: 33 + -5x = 4x + -12 Reorder the terms: 33 + -5x = -12 + 4x Solving 33 + -5x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 33 + -5x + -4x = -12 + 4x + -4x Combine like terms: -5x + -4x = -9x 33 + -9x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 33 + -9x = -12 + 0 33 + -9x = -12 Add '-33' to each side of the equation. 33 + -33 + -9x = -12 + -33 Combine like terms: 33 + -33 = 0 0 + -9x = -12 + -33 -9x = -12 + -33 Combine like terms: -12 + -33 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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