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Simplifying -2x + -49 = -10x + 47 Reorder the terms: -49 + -2x = -10x + 47 Reorder the terms: -49 + -2x = 47 + -10x Solving -49 + -2x = 47 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -49 + -2x + 10x = 47 + -10x + 10x Combine like terms: -2x + 10x = 8x -49 + 8x = 47 + -10x + 10x Combine like terms: -10x + 10x = 0 -49 + 8x = 47 + 0 -49 + 8x = 47 Add '49' to each side of the equation. -49 + 49 + 8x = 47 + 49 Combine like terms: -49 + 49 = 0 0 + 8x = 47 + 49 8x = 47 + 49 Combine like terms: 47 + 49 = 96 8x = 96 Divide each side by '8'. x = 12 Simplifying x = 12
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