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Simplifying 17x + 20(x + -4) = 1(4x + -3) Reorder the terms: 17x + 20(-4 + x) = 1(4x + -3) 17x + (-4 * 20 + x * 20) = 1(4x + -3) 17x + (-80 + 20x) = 1(4x + -3) Reorder the terms: -80 + 17x + 20x = 1(4x + -3) Combine like terms: 17x + 20x = 37x -80 + 37x = 1(4x + -3) Reorder the terms: -80 + 37x = 1(-3 + 4x) -80 + 37x = (-3 * 1 + 4x * 1) -80 + 37x = (-3 + 4x) Solving -80 + 37x = -3 + 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. -80 + 37x + -4x = -3 + 4x + -4x Combine like terms: 37x + -4x = 33x -80 + 33x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 -80 + 33x = -3 + 0 -80 + 33x = -3 Add '80' to each side of the equation. -80 + 80 + 33x = -3 + 80 Combine like terms: -80 + 80 = 0 0 + 33x = -3 + 80 33x = -3 + 80 Combine like terms: -3 + 80 = 77 33x = 77 Divide each side by '33'. x = 2.333333333 Simplifying x = 2.333333333
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