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Simplifying 25 + 13(x + 4) = 4x + 122 Reorder the terms: 25 + 13(4 + x) = 4x + 122 25 + (4 * 13 + x * 13) = 4x + 122 25 + (52 + 13x) = 4x + 122 Combine like terms: 25 + 52 = 77 77 + 13x = 4x + 122 Reorder the terms: 77 + 13x = 122 + 4x Solving 77 + 13x = 122 + 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. 77 + 13x + -4x = 122 + 4x + -4x Combine like terms: 13x + -4x = 9x 77 + 9x = 122 + 4x + -4x Combine like terms: 4x + -4x = 0 77 + 9x = 122 + 0 77 + 9x = 122 Add '-77' to each side of the equation. 77 + -77 + 9x = 122 + -77 Combine like terms: 77 + -77 = 0 0 + 9x = 122 + -77 9x = 122 + -77 Combine like terms: 122 + -77 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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