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Simplifying (7x + 2) = 5(4x + 1) + 17 Reorder the terms: (2 + 7x) = 5(4x + 1) + 17 Remove parenthesis around (2 + 7x) 2 + 7x = 5(4x + 1) + 17 Reorder the terms: 2 + 7x = 5(1 + 4x) + 17 2 + 7x = (1 * 5 + 4x * 5) + 17 2 + 7x = (5 + 20x) + 17 Reorder the terms: 2 + 7x = 5 + 17 + 20x Combine like terms: 5 + 17 = 22 2 + 7x = 22 + 20x Solving 2 + 7x = 22 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 2 + 7x + -20x = 22 + 20x + -20x Combine like terms: 7x + -20x = -13x 2 + -13x = 22 + 20x + -20x Combine like terms: 20x + -20x = 0 2 + -13x = 22 + 0 2 + -13x = 22 Add '-2' to each side of the equation. 2 + -2 + -13x = 22 + -2 Combine like terms: 2 + -2 = 0 0 + -13x = 22 + -2 -13x = 22 + -2 Combine like terms: 22 + -2 = 20 -13x = 20 Divide each side by '-13'. x = -1.538461538 Simplifying x = -1.538461538
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