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Simplifying 2x + 52 = 3x + -33 Reorder the terms: 52 + 2x = 3x + -33 Reorder the terms: 52 + 2x = -33 + 3x Solving 52 + 2x = -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. 52 + 2x + -3x = -33 + 3x + -3x Combine like terms: 2x + -3x = -1x 52 + -1x = -33 + 3x + -3x Combine like terms: 3x + -3x = 0 52 + -1x = -33 + 0 52 + -1x = -33 Add '-52' to each side of the equation. 52 + -52 + -1x = -33 + -52 Combine like terms: 52 + -52 = 0 0 + -1x = -33 + -52 -1x = -33 + -52 Combine like terms: -33 + -52 = -85 -1x = -85 Divide each side by '-1'. x = 85 Simplifying x = 85
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