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Simplifying -5x + 33 = 3x + 5 + -6x Reorder the terms: 33 + -5x = 3x + 5 + -6x Reorder the terms: 33 + -5x = 5 + 3x + -6x Combine like terms: 3x + -6x = -3x 33 + -5x = 5 + -3x Solving 33 + -5x = 5 + -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. 33 + -5x + 3x = 5 + -3x + 3x Combine like terms: -5x + 3x = -2x 33 + -2x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 33 + -2x = 5 + 0 33 + -2x = 5 Add '-33' to each side of the equation. 33 + -33 + -2x = 5 + -33 Combine like terms: 33 + -33 = 0 0 + -2x = 5 + -33 -2x = 5 + -33 Combine like terms: 5 + -33 = -28 -2x = -28 Divide each side by '-2'. x = 14 Simplifying x = 14
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