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Simplifying 5(5x + 2) = -5(-6x + -4) Reorder the terms: 5(2 + 5x) = -5(-6x + -4) (2 * 5 + 5x * 5) = -5(-6x + -4) (10 + 25x) = -5(-6x + -4) Reorder the terms: 10 + 25x = -5(-4 + -6x) 10 + 25x = (-4 * -5 + -6x * -5) 10 + 25x = (20 + 30x) Solving 10 + 25x = 20 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 10 + 25x + -30x = 20 + 30x + -30x Combine like terms: 25x + -30x = -5x 10 + -5x = 20 + 30x + -30x Combine like terms: 30x + -30x = 0 10 + -5x = 20 + 0 10 + -5x = 20 Add '-10' to each side of the equation. 10 + -10 + -5x = 20 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = 20 + -10 -5x = 20 + -10 Combine like terms: 20 + -10 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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