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Simplifying -4(2x + -6) + 8x = 5x + 24 + x Reorder the terms: -4(-6 + 2x) + 8x = 5x + 24 + x (-6 * -4 + 2x * -4) + 8x = 5x + 24 + x (24 + -8x) + 8x = 5x + 24 + x Combine like terms: -8x + 8x = 0 24 + 0 = 5x + 24 + x 24 = 5x + 24 + x Reorder the terms: 24 = 24 + 5x + x Combine like terms: 5x + x = 6x 24 = 24 + 6x Add '-24' to each side of the equation. 24 + -24 = 24 + -24 + 6x Combine like terms: 24 + -24 = 0 0 = 24 + -24 + 6x Combine like terms: 24 + -24 = 0 0 = 0 + 6x 0 = 6x Solving 0 = 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. 0 + -6x = 6x + -6x Remove the zero: -6x = 6x + -6x Combine like terms: 6x + -6x = 0 -6x = 0 Divide each side by '-6'. x = 0 Simplifying x = 0
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