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Simplifying -4(3x + -2) + -1(-1x + 6) = -5x + 8 Reorder the terms: -4(-2 + 3x) + -1(-1x + 6) = -5x + 8 (-2 * -4 + 3x * -4) + -1(-1x + 6) = -5x + 8 (8 + -12x) + -1(-1x + 6) = -5x + 8 Reorder the terms: 8 + -12x + -1(6 + -1x) = -5x + 8 8 + -12x + (6 * -1 + -1x * -1) = -5x + 8 8 + -12x + (-6 + 1x) = -5x + 8 Reorder the terms: 8 + -6 + -12x + 1x = -5x + 8 Combine like terms: 8 + -6 = 2 2 + -12x + 1x = -5x + 8 Combine like terms: -12x + 1x = -11x 2 + -11x = -5x + 8 Reorder the terms: 2 + -11x = 8 + -5x Solving 2 + -11x = 8 + -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. 2 + -11x + 5x = 8 + -5x + 5x Combine like terms: -11x + 5x = -6x 2 + -6x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + -6x = 8 + 0 2 + -6x = 8 Add '-2' to each side of the equation. 2 + -2 + -6x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = 8 + -2 -6x = 8 + -2 Combine like terms: 8 + -2 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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