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Simplifying 2x + 47 = 5x + -13 Reorder the terms: 47 + 2x = 5x + -13 Reorder the terms: 47 + 2x = -13 + 5x Solving 47 + 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. 47 + 2x + -5x = -13 + 5x + -5x Combine like terms: 2x + -5x = -3x 47 + -3x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 47 + -3x = -13 + 0 47 + -3x = -13 Add '-47' to each side of the equation. 47 + -47 + -3x = -13 + -47 Combine like terms: 47 + -47 = 0 0 + -3x = -13 + -47 -3x = -13 + -47 Combine like terms: -13 + -47 = -60 -3x = -60 Divide each side by '-3'. x = 20 Simplifying x = 20
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