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Simplifying 9((3x + -8) + -1(7x + -8) + -6x) + -1(9x + -5) = 3(4x + -3) Reorder the terms: 9((-8 + 3x) + -1(7x + -8) + -6x) + -1(9x + -5) = 3(4x + -3) Remove parenthesis around (-8 + 3x) 9(-8 + 3x + -1(7x + -8) + -6x) + -1(9x + -5) = 3(4x + -3) Reorder the terms: 9(-8 + 3x + -1(-8 + 7x) + -6x) + -1(9x + -5) = 3(4x + -3) 9(-8 + 3x + (-8 * -1 + 7x * -1) + -6x) + -1(9x + -5) = 3(4x + -3) 9(-8 + 3x + (8 + -7x) + -6x) + -1(9x + -5) = 3(4x + -3) Reorder the terms: 9(-8 + 8 + 3x + -7x + -6x) + -1(9x + -5) = 3(4x + -3) Combine like terms: -8 + 8 = 0 9(0 + 3x + -7x + -6x) + -1(9x + -5) = 3(4x + -3) 9(3x + -7x + -6x) + -1(9x + -5) = 3(4x + -3) Combine like terms: 3x + -7x = -4x 9(-4x + -6x) + -1(9x + -5) = 3(4x + -3) Combine like terms: -4x + -6x = -10x 9(-10x) + -1(9x + -5) = 3(4x + -3) Remove parenthesis around (-10x) 9 * -10x + -1(9x + -5) = 3(4x + -3) Multiply 9 * -10 -90x + -1(9x + -5) = 3(4x + -3) Reorder the terms: -90x + -1(-5 + 9x) = 3(4x + -3) -90x + (-5 * -1 + 9x * -1) = 3(4x + -3) -90x + (5 + -9x) = 3(4x + -3) Reorder the terms: 5 + -90x + -9x = 3(4x + -3) Combine like terms: -90x + -9x = -99x 5 + -99x = 3(4x + -3) Reorder the terms: 5 + -99x = 3(-3 + 4x) 5 + -99x = (-3 * 3 + 4x * 3) 5 + -99x = (-9 + 12x) Solving 5 + -99x = -9 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 5 + -99x + -12x = -9 + 12x + -12x Combine like terms: -99x + -12x = -111x 5 + -111x = -9 + 12x + -12x Combine like terms: 12x + -12x = 0 5 + -111x = -9 + 0 5 + -111x = -9 Add '-5' to each side of the equation. 5 + -5 + -111x = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -111x = -9 + -5 -111x = -9 + -5 Combine like terms: -9 + -5 = -14 -111x = -14 Divide each side by '-111'. x = 0.1261261261 Simplifying x = 0.1261261261
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