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Simplifying 6(7x + -5) + -1[3(4x + -3) + 5] = 0 Reorder the terms: 6(-5 + 7x) + -1[3(4x + -3) + 5] = 0 (-5 * 6 + 7x * 6) + -1[3(4x + -3) + 5] = 0 (-30 + 42x) + -1[3(4x + -3) + 5] = 0 Reorder the terms: -30 + 42x + -1[3(-3 + 4x) + 5] = 0 -30 + 42x + -1[(-3 * 3 + 4x * 3) + 5] = 0 -30 + 42x + -1[(-9 + 12x) + 5] = 0 Reorder the terms: -30 + 42x + -1[-9 + 5 + 12x] = 0 Combine like terms: -9 + 5 = -4 -30 + 42x + -1[-4 + 12x] = 0 -30 + 42x + [-4 * -1 + 12x * -1] = 0 -30 + 42x + [4 + -12x] = 0 Reorder the terms: -30 + 4 + 42x + -12x = 0 Combine like terms: -30 + 4 = -26 -26 + 42x + -12x = 0 Combine like terms: 42x + -12x = 30x -26 + 30x = 0 Solving -26 + 30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 30x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 30x = 0 + 26 30x = 0 + 26 Combine like terms: 0 + 26 = 26 30x = 26 Divide each side by '30'. x = 0.8666666667 Simplifying x = 0.8666666667
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