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Simplifying x + 83 = 2x + 33 Reorder the terms: 83 + x = 2x + 33 Reorder the terms: 83 + x = 33 + 2x Solving 83 + x = 33 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 83 + x + -2x = 33 + 2x + -2x Combine like terms: x + -2x = -1x 83 + -1x = 33 + 2x + -2x Combine like terms: 2x + -2x = 0 83 + -1x = 33 + 0 83 + -1x = 33 Add '-83' to each side of the equation. 83 + -83 + -1x = 33 + -83 Combine like terms: 83 + -83 = 0 0 + -1x = 33 + -83 -1x = 33 + -83 Combine like terms: 33 + -83 = -50 -1x = -50 Divide each side by '-1'. x = 50 Simplifying x = 50
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