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