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Simplifying (2x + 101) = (4x + 55) Reorder the terms: (101 + 2x) = (4x + 55) Remove parenthesis around (101 + 2x) 101 + 2x = (4x + 55) Reorder the terms: 101 + 2x = (55 + 4x) Remove parenthesis around (55 + 4x) 101 + 2x = 55 + 4x Solving 101 + 2x = 55 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 101 + 2x + -4x = 55 + 4x + -4x Combine like terms: 2x + -4x = -2x 101 + -2x = 55 + 4x + -4x Combine like terms: 4x + -4x = 0 101 + -2x = 55 + 0 101 + -2x = 55 Add '-101' to each side of the equation. 101 + -101 + -2x = 55 + -101 Combine like terms: 101 + -101 = 0 0 + -2x = 55 + -101 -2x = 55 + -101 Combine like terms: 55 + -101 = -46 -2x = -46 Divide each side by '-2'. x = 23 Simplifying x = 23
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