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Simplifying -12 + -8x = -5(x + 6) Reorder the terms: -12 + -8x = -5(6 + x) -12 + -8x = (6 * -5 + x * -5) -12 + -8x = (-30 + -5x) Solving -12 + -8x = -30 + -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. -12 + -8x + 5x = -30 + -5x + 5x Combine like terms: -8x + 5x = -3x -12 + -3x = -30 + -5x + 5x Combine like terms: -5x + 5x = 0 -12 + -3x = -30 + 0 -12 + -3x = -30 Add '12' to each side of the equation. -12 + 12 + -3x = -30 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = -30 + 12 -3x = -30 + 12 Combine like terms: -30 + 12 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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