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Simplifying 2x + 47 = 3x + 14 Reorder the terms: 47 + 2x = 3x + 14 Reorder the terms: 47 + 2x = 14 + 3x Solving 47 + 2x = 14 + 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. 47 + 2x + -3x = 14 + 3x + -3x Combine like terms: 2x + -3x = -1x 47 + -1x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 47 + -1x = 14 + 0 47 + -1x = 14 Add '-47' to each side of the equation. 47 + -47 + -1x = 14 + -47 Combine like terms: 47 + -47 = 0 0 + -1x = 14 + -47 -1x = 14 + -47 Combine like terms: 14 + -47 = -33 -1x = -33 Divide each side by '-1'. x = 33 Simplifying x = 33
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