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Simplifying (5x + 1) + 51 = x Reorder the terms: (1 + 5x) + 51 = x Remove parenthesis around (1 + 5x) 1 + 5x + 51 = x Reorder the terms: 1 + 51 + 5x = x Combine like terms: 1 + 51 = 52 52 + 5x = x Solving 52 + 5x = 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. 52 + 5x + -1x = x + -1x Combine like terms: 5x + -1x = 4x 52 + 4x = x + -1x Combine like terms: x + -1x = 0 52 + 4x = 0 Add '-52' to each side of the equation. 52 + -52 + 4x = 0 + -52 Combine like terms: 52 + -52 = 0 0 + 4x = 0 + -52 4x = 0 + -52 Combine like terms: 0 + -52 = -52 4x = -52 Divide each side by '4'. x = -13 Simplifying x = -13
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