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Simplifying -5(5x + 1) = 29 + -8x Reorder the terms: -5(1 + 5x) = 29 + -8x (1 * -5 + 5x * -5) = 29 + -8x (-5 + -25x) = 29 + -8x Solving -5 + -25x = 29 + -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. -5 + -25x + 8x = 29 + -8x + 8x Combine like terms: -25x + 8x = -17x -5 + -17x = 29 + -8x + 8x Combine like terms: -8x + 8x = 0 -5 + -17x = 29 + 0 -5 + -17x = 29 Add '5' to each side of the equation. -5 + 5 + -17x = 29 + 5 Combine like terms: -5 + 5 = 0 0 + -17x = 29 + 5 -17x = 29 + 5 Combine like terms: 29 + 5 = 34 -17x = 34 Divide each side by '-17'. x = -2 Simplifying x = -2
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