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Simplifying -1(7x + -1(2x + 3)) = -6(3(3x + -4) + -2x) Reorder the terms: -1(7x + -1(3 + 2x)) = -6(3(3x + -4) + -2x) -1(7x + (3 * -1 + 2x * -1)) = -6(3(3x + -4) + -2x) -1(7x + (-3 + -2x)) = -6(3(3x + -4) + -2x) Reorder the terms: -1(-3 + 7x + -2x) = -6(3(3x + -4) + -2x) Combine like terms: 7x + -2x = 5x -1(-3 + 5x) = -6(3(3x + -4) + -2x) (-3 * -1 + 5x * -1) = -6(3(3x + -4) + -2x) (3 + -5x) = -6(3(3x + -4) + -2x) Reorder the terms: 3 + -5x = -6(3(-4 + 3x) + -2x) 3 + -5x = -6((-4 * 3 + 3x * 3) + -2x) 3 + -5x = -6((-12 + 9x) + -2x) Combine like terms: 9x + -2x = 7x 3 + -5x = -6(-12 + 7x) 3 + -5x = (-12 * -6 + 7x * -6) 3 + -5x = (72 + -42x) Solving 3 + -5x = 72 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. 3 + -5x + 42x = 72 + -42x + 42x Combine like terms: -5x + 42x = 37x 3 + 37x = 72 + -42x + 42x Combine like terms: -42x + 42x = 0 3 + 37x = 72 + 0 3 + 37x = 72 Add '-3' to each side of the equation. 3 + -3 + 37x = 72 + -3 Combine like terms: 3 + -3 = 0 0 + 37x = 72 + -3 37x = 72 + -3 Combine like terms: 72 + -3 = 69 37x = 69 Divide each side by '37'. x = 1.864864865 Simplifying x = 1.864864865
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