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Simplifying 6x + -1(-2x + -6) + -1(4x + -2) = (-2)(3x + 1) Reorder the terms: 6x + -1(-6 + -2x) + -1(4x + -2) = (-2)(3x + 1) 6x + (-6 * -1 + -2x * -1) + -1(4x + -2) = (-2)(3x + 1) 6x + (6 + 2x) + -1(4x + -2) = (-2)(3x + 1) Reorder the terms: 6x + 6 + 2x + -1(-2 + 4x) = (-2)(3x + 1) 6x + 6 + 2x + (-2 * -1 + 4x * -1) = (-2)(3x + 1) 6x + 6 + 2x + (2 + -4x) = (-2)(3x + 1) Reorder the terms: 6 + 2 + 6x + 2x + -4x = (-2)(3x + 1) Combine like terms: 6 + 2 = 8 8 + 6x + 2x + -4x = (-2)(3x + 1) Combine like terms: 6x + 2x = 8x 8 + 8x + -4x = (-2)(3x + 1) Combine like terms: 8x + -4x = 4x 8 + 4x = (-2)(3x + 1) Reorder the terms: 8 + 4x = -2(1 + 3x) 8 + 4x = (1 * -2 + 3x * -2) 8 + 4x = (-2 + -6x) Solving 8 + 4x = -2 + -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. 8 + 4x + 6x = -2 + -6x + 6x Combine like terms: 4x + 6x = 10x 8 + 10x = -2 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 10x = -2 + 0 8 + 10x = -2 Add '-8' to each side of the equation. 8 + -8 + 10x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = -2 + -8 10x = -2 + -8 Combine like terms: -2 + -8 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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