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Simplifying -4(2x + -6) + 8 = 5x + 24 + x Reorder the terms: -4(-6 + 2x) + 8 = 5x + 24 + x (-6 * -4 + 2x * -4) + 8 = 5x + 24 + x (24 + -8x) + 8 = 5x + 24 + x Reorder the terms: 24 + 8 + -8x = 5x + 24 + x Combine like terms: 24 + 8 = 32 32 + -8x = 5x + 24 + x Reorder the terms: 32 + -8x = 24 + 5x + x Combine like terms: 5x + x = 6x 32 + -8x = 24 + 6x Solving 32 + -8x = 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. 32 + -8x + -6x = 24 + 6x + -6x Combine like terms: -8x + -6x = -14x 32 + -14x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 32 + -14x = 24 + 0 32 + -14x = 24 Add '-32' to each side of the equation. 32 + -32 + -14x = 24 + -32 Combine like terms: 32 + -32 = 0 0 + -14x = 24 + -32 -14x = 24 + -32 Combine like terms: 24 + -32 = -8 -14x = -8 Divide each side by '-14'. x = 0.5714285714 Simplifying x = 0.5714285714
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