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Simplifying -1(6x + -1(2x + 6)) = 3 + -1(4(2x + -4) + -2x) Reorder the terms: -1(6x + -1(6 + 2x)) = 3 + -1(4(2x + -4) + -2x) -1(6x + (6 * -1 + 2x * -1)) = 3 + -1(4(2x + -4) + -2x) -1(6x + (-6 + -2x)) = 3 + -1(4(2x + -4) + -2x) Reorder the terms: -1(-6 + 6x + -2x) = 3 + -1(4(2x + -4) + -2x) Combine like terms: 6x + -2x = 4x -1(-6 + 4x) = 3 + -1(4(2x + -4) + -2x) (-6 * -1 + 4x * -1) = 3 + -1(4(2x + -4) + -2x) (6 + -4x) = 3 + -1(4(2x + -4) + -2x) Reorder the terms: 6 + -4x = 3 + -1(4(-4 + 2x) + -2x) 6 + -4x = 3 + -1((-4 * 4 + 2x * 4) + -2x) 6 + -4x = 3 + -1((-16 + 8x) + -2x) Combine like terms: 8x + -2x = 6x 6 + -4x = 3 + -1(-16 + 6x) 6 + -4x = 3 + (-16 * -1 + 6x * -1) 6 + -4x = 3 + (16 + -6x) Combine like terms: 3 + 16 = 19 6 + -4x = 19 + -6x Solving 6 + -4x = 19 + -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. 6 + -4x + 6x = 19 + -6x + 6x Combine like terms: -4x + 6x = 2x 6 + 2x = 19 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 2x = 19 + 0 6 + 2x = 19 Add '-6' to each side of the equation. 6 + -6 + 2x = 19 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 19 + -6 2x = 19 + -6 Combine like terms: 19 + -6 = 13 2x = 13 Divide each side by '2'. x = 6.5 Simplifying x = 6.5
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