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Simplifying (2x + -100) = (x + 52) Reorder the terms: (-100 + 2x) = (x + 52) Remove parenthesis around (-100 + 2x) -100 + 2x = (x + 52) Reorder the terms: -100 + 2x = (52 + x) Remove parenthesis around (52 + x) -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 = 152 1x = 152 Divide each side by '1'. x = 152 Simplifying x = 152
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