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Simplifying 5x + 7(3x + 2) = (4x + 1) Reorder the terms: 5x + 7(2 + 3x) = (4x + 1) 5x + (2 * 7 + 3x * 7) = (4x + 1) 5x + (14 + 21x) = (4x + 1) Reorder the terms: 14 + 5x + 21x = (4x + 1) Combine like terms: 5x + 21x = 26x 14 + 26x = (4x + 1) Reorder the terms: 14 + 26x = (1 + 4x) Remove parenthesis around (1 + 4x) 14 + 26x = 1 + 4x Solving 14 + 26x = 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. 14 + 26x + -4x = 1 + 4x + -4x Combine like terms: 26x + -4x = 22x 14 + 22x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + 22x = 1 + 0 14 + 22x = 1 Add '-14' to each side of the equation. 14 + -14 + 22x = 1 + -14 Combine like terms: 14 + -14 = 0 0 + 22x = 1 + -14 22x = 1 + -14 Combine like terms: 1 + -14 = -13 22x = -13 Divide each side by '22'. x = -0.5909090909 Simplifying x = -0.5909090909
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