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Simplifying 9(2x + -1) * 8 = 20(3x + -5) + -4x + 7 Reorder the terms: 9(-1 + 2x) * 8 = 20(3x + -5) + -4x + 7 Reorder the terms for easier multiplication: 9 * 8(-1 + 2x) = 20(3x + -5) + -4x + 7 Multiply 9 * 8 72(-1 + 2x) = 20(3x + -5) + -4x + 7 (-1 * 72 + 2x * 72) = 20(3x + -5) + -4x + 7 (-72 + 144x) = 20(3x + -5) + -4x + 7 Reorder the terms: -72 + 144x = 20(-5 + 3x) + -4x + 7 -72 + 144x = (-5 * 20 + 3x * 20) + -4x + 7 -72 + 144x = (-100 + 60x) + -4x + 7 Reorder the terms: -72 + 144x = -100 + 7 + 60x + -4x Combine like terms: -100 + 7 = -93 -72 + 144x = -93 + 60x + -4x Combine like terms: 60x + -4x = 56x -72 + 144x = -93 + 56x Solving -72 + 144x = -93 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. -72 + 144x + -56x = -93 + 56x + -56x Combine like terms: 144x + -56x = 88x -72 + 88x = -93 + 56x + -56x Combine like terms: 56x + -56x = 0 -72 + 88x = -93 + 0 -72 + 88x = -93 Add '72' to each side of the equation. -72 + 72 + 88x = -93 + 72 Combine like terms: -72 + 72 = 0 0 + 88x = -93 + 72 88x = -93 + 72 Combine like terms: -93 + 72 = -21 88x = -21 Divide each side by '88'. x = -0.2386363636 Simplifying x = -0.2386363636
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