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Simplifying -2(x + -4) + -4(-3x + 5) = 8 Reorder the terms: -2(-4 + x) + -4(-3x + 5) = 8 (-4 * -2 + x * -2) + -4(-3x + 5) = 8 (8 + -2x) + -4(-3x + 5) = 8 Reorder the terms: 8 + -2x + -4(5 + -3x) = 8 8 + -2x + (5 * -4 + -3x * -4) = 8 8 + -2x + (-20 + 12x) = 8 Reorder the terms: 8 + -20 + -2x + 12x = 8 Combine like terms: 8 + -20 = -12 -12 + -2x + 12x = 8 Combine like terms: -2x + 12x = 10x -12 + 10x = 8 Solving -12 + 10x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 10x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = 8 + 12 10x = 8 + 12 Combine like terms: 8 + 12 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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