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Simplifying 6(2 + -2x) + 2(-8 + 5x) = -5 (2 * 6 + -2x * 6) + 2(-8 + 5x) = -5 (12 + -12x) + 2(-8 + 5x) = -5 12 + -12x + (-8 * 2 + 5x * 2) = -5 12 + -12x + (-16 + 10x) = -5 Reorder the terms: 12 + -16 + -12x + 10x = -5 Combine like terms: 12 + -16 = -4 -4 + -12x + 10x = -5 Combine like terms: -12x + 10x = -2x -4 + -2x = -5 Solving -4 + -2x = -5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -2x = -5 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -5 + 4 -2x = -5 + 4 Combine like terms: -5 + 4 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5
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