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Simplifying -2x + -157 = 10x + 47 Reorder the terms: -157 + -2x = 10x + 47 Reorder the terms: -157 + -2x = 47 + 10x Solving -157 + -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. -157 + -2x + -10x = 47 + 10x + -10x Combine like terms: -2x + -10x = -12x -157 + -12x = 47 + 10x + -10x Combine like terms: 10x + -10x = 0 -157 + -12x = 47 + 0 -157 + -12x = 47 Add '157' to each side of the equation. -157 + 157 + -12x = 47 + 157 Combine like terms: -157 + 157 = 0 0 + -12x = 47 + 157 -12x = 47 + 157 Combine like terms: 47 + 157 = 204 -12x = 204 Divide each side by '-12'. x = -17 Simplifying x = -17
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