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Simplifying 2x + -71 = 10x + 49 Reorder the terms: -71 + 2x = 10x + 49 Reorder the terms: -71 + 2x = 49 + 10x Solving -71 + 2x = 49 + 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. -71 + 2x + -10x = 49 + 10x + -10x Combine like terms: 2x + -10x = -8x -71 + -8x = 49 + 10x + -10x Combine like terms: 10x + -10x = 0 -71 + -8x = 49 + 0 -71 + -8x = 49 Add '71' to each side of the equation. -71 + 71 + -8x = 49 + 71 Combine like terms: -71 + 71 = 0 0 + -8x = 49 + 71 -8x = 49 + 71 Combine like terms: 49 + 71 = 120 -8x = 120 Divide each side by '-8'. x = -15 Simplifying x = -15
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