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Simplifying 71 + 2x = 49 + 3x Solving 71 + 2x = 49 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 71 + 2x + -3x = 49 + 3x + -3x Combine like terms: 2x + -3x = -1x 71 + -1x = 49 + 3x + -3x Combine like terms: 3x + -3x = 0 71 + -1x = 49 + 0 71 + -1x = 49 Add '-71' to each side of the equation. 71 + -71 + -1x = 49 + -71 Combine like terms: 71 + -71 = 0 0 + -1x = 49 + -71 -1x = 49 + -71 Combine like terms: 49 + -71 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22
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