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Simplifying 2 + -2x = 5x + -33 Reorder the terms: 2 + -2x = -33 + 5x Solving 2 + -2x = -33 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + -2x + -5x = -33 + 5x + -5x Combine like terms: -2x + -5x = -7x 2 + -7x = -33 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -7x = -33 + 0 2 + -7x = -33 Add '-2' to each side of the equation. 2 + -2 + -7x = -33 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = -33 + -2 -7x = -33 + -2 Combine like terms: -33 + -2 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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