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Simplifying -4(2x + -6) = 5x + 24 + -7x Reorder the terms: -4(-6 + 2x) = 5x + 24 + -7x (-6 * -4 + 2x * -4) = 5x + 24 + -7x (24 + -8x) = 5x + 24 + -7x Reorder the terms: 24 + -8x = 24 + 5x + -7x Combine like terms: 5x + -7x = -2x 24 + -8x = 24 + -2x Add '-24' to each side of the equation. 24 + -24 + -8x = 24 + -24 + -2x Combine like terms: 24 + -24 = 0 0 + -8x = 24 + -24 + -2x -8x = 24 + -24 + -2x Combine like terms: 24 + -24 = 0 -8x = 0 + -2x -8x = -2x Solving -8x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -8x + 2x = -2x + 2x Combine like terms: -8x + 2x = -6x -6x = -2x + 2x Combine like terms: -2x + 2x = 0 -6x = 0 Divide each side by '-6'. x = 0 Simplifying x = 0
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