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Simplifying 10(5x + 2) = -3(-2x + 8) Reorder the terms: 10(2 + 5x) = -3(-2x + 8) (2 * 10 + 5x * 10) = -3(-2x + 8) (20 + 50x) = -3(-2x + 8) Reorder the terms: 20 + 50x = -3(8 + -2x) 20 + 50x = (8 * -3 + -2x * -3) 20 + 50x = (-24 + 6x) Solving 20 + 50x = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 20 + 50x + -6x = -24 + 6x + -6x Combine like terms: 50x + -6x = 44x 20 + 44x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + 44x = -24 + 0 20 + 44x = -24 Add '-20' to each side of the equation. 20 + -20 + 44x = -24 + -20 Combine like terms: 20 + -20 = 0 0 + 44x = -24 + -20 44x = -24 + -20 Combine like terms: -24 + -20 = -44 44x = -44 Divide each side by '44'. x = -1 Simplifying x = -1
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