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Simplifying 8x + -101 = -2x + 49 Reorder the terms: -101 + 8x = -2x + 49 Reorder the terms: -101 + 8x = 49 + -2x Solving -101 + 8x = 49 + -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. -101 + 8x + 2x = 49 + -2x + 2x Combine like terms: 8x + 2x = 10x -101 + 10x = 49 + -2x + 2x Combine like terms: -2x + 2x = 0 -101 + 10x = 49 + 0 -101 + 10x = 49 Add '101' to each side of the equation. -101 + 101 + 10x = 49 + 101 Combine like terms: -101 + 101 = 0 0 + 10x = 49 + 101 10x = 49 + 101 Combine like terms: 49 + 101 = 150 10x = 150 Divide each side by '10'. x = 15 Simplifying x = 15
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