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Simplifying x + 17 = 7x + 47 Reorder the terms: 17 + x = 7x + 47 Reorder the terms: 17 + x = 47 + 7x Solving 17 + x = 47 + 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. 17 + x + -7x = 47 + 7x + -7x Combine like terms: x + -7x = -6x 17 + -6x = 47 + 7x + -7x Combine like terms: 7x + -7x = 0 17 + -6x = 47 + 0 17 + -6x = 47 Add '-17' to each side of the equation. 17 + -17 + -6x = 47 + -17 Combine like terms: 17 + -17 = 0 0 + -6x = 47 + -17 -6x = 47 + -17 Combine like terms: 47 + -17 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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