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Simplifying 2x + 100 = x + 52 Reorder the terms: 100 + 2x = x + 52 Reorder the terms: 100 + 2x = 52 + x Solving 100 + 2x = 52 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 100 + 2x + -1x = 52 + x + -1x Combine like terms: 2x + -1x = 1x 100 + 1x = 52 + x + -1x Combine like terms: x + -1x = 0 100 + 1x = 52 + 0 100 + 1x = 52 Add '-100' to each side of the equation. 100 + -100 + 1x = 52 + -100 Combine like terms: 100 + -100 = 0 0 + 1x = 52 + -100 1x = 52 + -100 Combine like terms: 52 + -100 = -48 1x = -48 Divide each side by '1'. x = -48 Simplifying x = -48
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