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Simplifying 4(5x + 2) + -5 = 3(3x + 7) Reorder the terms: 4(2 + 5x) + -5 = 3(3x + 7) (2 * 4 + 5x * 4) + -5 = 3(3x + 7) (8 + 20x) + -5 = 3(3x + 7) Reorder the terms: 8 + -5 + 20x = 3(3x + 7) Combine like terms: 8 + -5 = 3 3 + 20x = 3(3x + 7) Reorder the terms: 3 + 20x = 3(7 + 3x) 3 + 20x = (7 * 3 + 3x * 3) 3 + 20x = (21 + 9x) Solving 3 + 20x = 21 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 3 + 20x + -9x = 21 + 9x + -9x Combine like terms: 20x + -9x = 11x 3 + 11x = 21 + 9x + -9x Combine like terms: 9x + -9x = 0 3 + 11x = 21 + 0 3 + 11x = 21 Add '-3' to each side of the equation. 3 + -3 + 11x = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 11x = 21 + -3 11x = 21 + -3 Combine like terms: 21 + -3 = 18 11x = 18 Divide each side by '11'. x = 1.636363636 Simplifying x = 1.636363636
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