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Simplifying 2x + 71 = 12x + 61 Reorder the terms: 71 + 2x = 12x + 61 Reorder the terms: 71 + 2x = 61 + 12x Solving 71 + 2x = 61 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 71 + 2x + -12x = 61 + 12x + -12x Combine like terms: 2x + -12x = -10x 71 + -10x = 61 + 12x + -12x Combine like terms: 12x + -12x = 0 71 + -10x = 61 + 0 71 + -10x = 61 Add '-71' to each side of the equation. 71 + -71 + -10x = 61 + -71 Combine like terms: 71 + -71 = 0 0 + -10x = 61 + -71 -10x = 61 + -71 Combine like terms: 61 + -71 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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