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Simplifying 5x + 47 = 7x + 17 Reorder the terms: 47 + 5x = 7x + 17 Reorder the terms: 47 + 5x = 17 + 7x Solving 47 + 5x = 17 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 47 + 5x + -7x = 17 + 7x + -7x Combine like terms: 5x + -7x = -2x 47 + -2x = 17 + 7x + -7x Combine like terms: 7x + -7x = 0 47 + -2x = 17 + 0 47 + -2x = 17 Add '-47' to each side of the equation. 47 + -47 + -2x = 17 + -47 Combine like terms: 47 + -47 = 0 0 + -2x = 17 + -47 -2x = 17 + -47 Combine like terms: 17 + -47 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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