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Simplifying -3(5x + 8) = 23 + -8x Reorder the terms: -3(8 + 5x) = 23 + -8x (8 * -3 + 5x * -3) = 23 + -8x (-24 + -15x) = 23 + -8x Solving -24 + -15x = 23 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -24 + -15x + 8x = 23 + -8x + 8x Combine like terms: -15x + 8x = -7x -24 + -7x = 23 + -8x + 8x Combine like terms: -8x + 8x = 0 -24 + -7x = 23 + 0 -24 + -7x = 23 Add '24' to each side of the equation. -24 + 24 + -7x = 23 + 24 Combine like terms: -24 + 24 = 0 0 + -7x = 23 + 24 -7x = 23 + 24 Combine like terms: 23 + 24 = 47 -7x = 47 Divide each side by '-7'. x = -6.714285714 Simplifying x = -6.714285714
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