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Simplifying -4(8x + 7) = -6x + 24 Reorder the terms: -4(7 + 8x) = -6x + 24 (7 * -4 + 8x * -4) = -6x + 24 (-28 + -32x) = -6x + 24 Reorder the terms: -28 + -32x = 24 + -6x Solving -28 + -32x = 24 + -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. -28 + -32x + 6x = 24 + -6x + 6x Combine like terms: -32x + 6x = -26x -28 + -26x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 -28 + -26x = 24 + 0 -28 + -26x = 24 Add '28' to each side of the equation. -28 + 28 + -26x = 24 + 28 Combine like terms: -28 + 28 = 0 0 + -26x = 24 + 28 -26x = 24 + 28 Combine like terms: 24 + 28 = 52 -26x = 52 Divide each side by '-26'. x = -2 Simplifying x = -2
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