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Simplifying 2(-5 + -6x) = 32 + -6x (-5 * 2 + -6x * 2) = 32 + -6x (-10 + -12x) = 32 + -6x Solving -10 + -12x = 32 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -10 + -12x + 6x = 32 + -6x + 6x Combine like terms: -12x + 6x = -6x -10 + -6x = 32 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + -6x = 32 + 0 -10 + -6x = 32 Add '10' to each side of the equation. -10 + 10 + -6x = 32 + 10 Combine like terms: -10 + 10 = 0 0 + -6x = 32 + 10 -6x = 32 + 10 Combine like terms: 32 + 10 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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