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Simplifying -5(1 + 5x) = -32 + 2x (1 * -5 + 5x * -5) = -32 + 2x (-5 + -25x) = -32 + 2x Solving -5 + -25x = -32 + 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. -5 + -25x + -2x = -32 + 2x + -2x Combine like terms: -25x + -2x = -27x -5 + -27x = -32 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -27x = -32 + 0 -5 + -27x = -32 Add '5' to each side of the equation. -5 + 5 + -27x = -32 + 5 Combine like terms: -5 + 5 = 0 0 + -27x = -32 + 5 -27x = -32 + 5 Combine like terms: -32 + 5 = -27 -27x = -27 Divide each side by '-27'. x = 1 Simplifying x = 1
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