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Simplifying 20x + -1(8x + -3) = 37 + (7x + 6) Reorder the terms: 20x + -1(-3 + 8x) = 37 + (7x + 6) 20x + (-3 * -1 + 8x * -1) = 37 + (7x + 6) 20x + (3 + -8x) = 37 + (7x + 6) Reorder the terms: 3 + 20x + -8x = 37 + (7x + 6) Combine like terms: 20x + -8x = 12x 3 + 12x = 37 + (7x + 6) Reorder the terms: 3 + 12x = 37 + (6 + 7x) Remove parenthesis around (6 + 7x) 3 + 12x = 37 + 6 + 7x Combine like terms: 37 + 6 = 43 3 + 12x = 43 + 7x Solving 3 + 12x = 43 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 3 + 12x + -7x = 43 + 7x + -7x Combine like terms: 12x + -7x = 5x 3 + 5x = 43 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + 5x = 43 + 0 3 + 5x = 43 Add '-3' to each side of the equation. 3 + -3 + 5x = 43 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 43 + -3 5x = 43 + -3 Combine like terms: 43 + -3 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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