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Simplifying -4(x + 6) = 5x + 12 Reorder the terms: -4(6 + x) = 5x + 12 (6 * -4 + x * -4) = 5x + 12 (-24 + -4x) = 5x + 12 Reorder the terms: -24 + -4x = 12 + 5x Solving -24 + -4x = 12 + 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. -24 + -4x + -5x = 12 + 5x + -5x Combine like terms: -4x + -5x = -9x -24 + -9x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + -9x = 12 + 0 -24 + -9x = 12 Add '24' to each side of the equation. -24 + 24 + -9x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -9x = 12 + 24 -9x = 12 + 24 Combine like terms: 12 + 24 = 36 -9x = 36 Divide each side by '-9'. x = -4 Simplifying x = -4
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