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Simplifying 2x + 71 = 5x + -13 Reorder the terms: 71 + 2x = 5x + -13 Reorder the terms: 71 + 2x = -13 + 5x Solving 71 + 2x = -13 + 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. 71 + 2x + -5x = -13 + 5x + -5x Combine like terms: 2x + -5x = -3x 71 + -3x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 71 + -3x = -13 + 0 71 + -3x = -13 Add '-71' to each side of the equation. 71 + -71 + -3x = -13 + -71 Combine like terms: 71 + -71 = 0 0 + -3x = -13 + -71 -3x = -13 + -71 Combine like terms: -13 + -71 = -84 -3x = -84 Divide each side by '-3'. x = 28 Simplifying x = 28
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