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Simplifying -1(6x + -1(2x + 9)) = -4 + -1(6(2x + -3) + -6x) Reorder the terms: -1(6x + -1(9 + 2x)) = -4 + -1(6(2x + -3) + -6x) -1(6x + (9 * -1 + 2x * -1)) = -4 + -1(6(2x + -3) + -6x) -1(6x + (-9 + -2x)) = -4 + -1(6(2x + -3) + -6x) Reorder the terms: -1(-9 + 6x + -2x) = -4 + -1(6(2x + -3) + -6x) Combine like terms: 6x + -2x = 4x -1(-9 + 4x) = -4 + -1(6(2x + -3) + -6x) (-9 * -1 + 4x * -1) = -4 + -1(6(2x + -3) + -6x) (9 + -4x) = -4 + -1(6(2x + -3) + -6x) Reorder the terms: 9 + -4x = -4 + -1(6(-3 + 2x) + -6x) 9 + -4x = -4 + -1((-3 * 6 + 2x * 6) + -6x) 9 + -4x = -4 + -1((-18 + 12x) + -6x) Combine like terms: 12x + -6x = 6x 9 + -4x = -4 + -1(-18 + 6x) 9 + -4x = -4 + (-18 * -1 + 6x * -1) 9 + -4x = -4 + (18 + -6x) Combine like terms: -4 + 18 = 14 9 + -4x = 14 + -6x Solving 9 + -4x = 14 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 9 + -4x + 6x = 14 + -6x + 6x Combine like terms: -4x + 6x = 2x 9 + 2x = 14 + -6x + 6x Combine like terms: -6x + 6x = 0 9 + 2x = 14 + 0 9 + 2x = 14 Add '-9' to each side of the equation. 9 + -9 + 2x = 14 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 14 + -9 2x = 14 + -9 Combine like terms: 14 + -9 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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