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Simplifying -10x + 111 = -5x + 71 Reorder the terms: 111 + -10x = -5x + 71 Reorder the terms: 111 + -10x = 71 + -5x Solving 111 + -10x = 71 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 111 + -10x + 5x = 71 + -5x + 5x Combine like terms: -10x + 5x = -5x 111 + -5x = 71 + -5x + 5x Combine like terms: -5x + 5x = 0 111 + -5x = 71 + 0 111 + -5x = 71 Add '-111' to each side of the equation. 111 + -111 + -5x = 71 + -111 Combine like terms: 111 + -111 = 0 0 + -5x = 71 + -111 -5x = 71 + -111 Combine like terms: 71 + -111 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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