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Simplifying 3x + 47 = 5x + 62 Reorder the terms: 47 + 3x = 5x + 62 Reorder the terms: 47 + 3x = 62 + 5x Solving 47 + 3x = 62 + 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 + 3x + -5x = 62 + 5x + -5x Combine like terms: 3x + -5x = -2x 47 + -2x = 62 + 5x + -5x Combine like terms: 5x + -5x = 0 47 + -2x = 62 + 0 47 + -2x = 62 Add '-47' to each side of the equation. 47 + -47 + -2x = 62 + -47 Combine like terms: 47 + -47 = 0 0 + -2x = 62 + -47 -2x = 62 + -47 Combine like terms: 62 + -47 = 15 -2x = 15 Divide each side by '-2'. x = -7.5 Simplifying x = -7.5
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