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Simplifying -3(-2x + -4) + -6 = -8 + -5(x + 6) Reorder the terms: -3(-4 + -2x) + -6 = -8 + -5(x + 6) (-4 * -3 + -2x * -3) + -6 = -8 + -5(x + 6) (12 + 6x) + -6 = -8 + -5(x + 6) Reorder the terms: 12 + -6 + 6x = -8 + -5(x + 6) Combine like terms: 12 + -6 = 6 6 + 6x = -8 + -5(x + 6) Reorder the terms: 6 + 6x = -8 + -5(6 + x) 6 + 6x = -8 + (6 * -5 + x * -5) 6 + 6x = -8 + (-30 + -5x) Combine like terms: -8 + -30 = -38 6 + 6x = -38 + -5x Solving 6 + 6x = -38 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 6 + 6x + 5x = -38 + -5x + 5x Combine like terms: 6x + 5x = 11x 6 + 11x = -38 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 11x = -38 + 0 6 + 11x = -38 Add '-6' to each side of the equation. 6 + -6 + 11x = -38 + -6 Combine like terms: 6 + -6 = 0 0 + 11x = -38 + -6 11x = -38 + -6 Combine like terms: -38 + -6 = -44 11x = -44 Divide each side by '11'. x = -4 Simplifying x = -4
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