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Simplifying -5(5x + -2) = -23 + 8x Reorder the terms: -5(-2 + 5x) = -23 + 8x (-2 * -5 + 5x * -5) = -23 + 8x (10 + -25x) = -23 + 8x Solving 10 + -25x = -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. 10 + -25x + -8x = -23 + 8x + -8x Combine like terms: -25x + -8x = -33x 10 + -33x = -23 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -33x = -23 + 0 10 + -33x = -23 Add '-10' to each side of the equation. 10 + -10 + -33x = -23 + -10 Combine like terms: 10 + -10 = 0 0 + -33x = -23 + -10 -33x = -23 + -10 Combine like terms: -23 + -10 = -33 -33x = -33 Divide each side by '-33'. x = 1 Simplifying x = 1
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