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Simplifying 8 + -3x = -10(5x + -1) + -2 Reorder the terms: 8 + -3x = -10(-1 + 5x) + -2 8 + -3x = (-1 * -10 + 5x * -10) + -2 8 + -3x = (10 + -50x) + -2 Reorder the terms: 8 + -3x = 10 + -2 + -50x Combine like terms: 10 + -2 = 8 8 + -3x = 8 + -50x Add '-8' to each side of the equation. 8 + -8 + -3x = 8 + -8 + -50x Combine like terms: 8 + -8 = 0 0 + -3x = 8 + -8 + -50x -3x = 8 + -8 + -50x Combine like terms: 8 + -8 = 0 -3x = 0 + -50x -3x = -50x Solving -3x = -50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50x' to each side of the equation. -3x + 50x = -50x + 50x Combine like terms: -3x + 50x = 47x 47x = -50x + 50x Combine like terms: -50x + 50x = 0 47x = 0 Divide each side by '47'. x = 0 Simplifying x = 0
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