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Simplifying -9(-2x + 8) = 4x + 12 Reorder the terms: -9(8 + -2x) = 4x + 12 (8 * -9 + -2x * -9) = 4x + 12 (-72 + 18x) = 4x + 12 Reorder the terms: -72 + 18x = 12 + 4x Solving -72 + 18x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -72 + 18x + -4x = 12 + 4x + -4x Combine like terms: 18x + -4x = 14x -72 + 14x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -72 + 14x = 12 + 0 -72 + 14x = 12 Add '72' to each side of the equation. -72 + 72 + 14x = 12 + 72 Combine like terms: -72 + 72 = 0 0 + 14x = 12 + 72 14x = 12 + 72 Combine like terms: 12 + 72 = 84 14x = 84 Divide each side by '14'. x = 6 Simplifying x = 6
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