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Simplifying 5 + (x + 2) = (4x + 1) Reorder the terms: 5 + (2 + x) = (4x + 1) Remove parenthesis around (2 + x) 5 + 2 + x = (4x + 1) Combine like terms: 5 + 2 = 7 7 + x = (4x + 1) Reorder the terms: 7 + x = (1 + 4x) Remove parenthesis around (1 + 4x) 7 + x = 1 + 4x Solving 7 + x = 1 + 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. 7 + x + -4x = 1 + 4x + -4x Combine like terms: x + -4x = -3x 7 + -3x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -3x = 1 + 0 7 + -3x = 1 Add '-7' to each side of the equation. 7 + -7 + -3x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 1 + -7 -3x = 1 + -7 Combine like terms: 1 + -7 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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