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Simplifying x + 17 = -6x + 52 Reorder the terms: 17 + x = -6x + 52 Reorder the terms: 17 + x = 52 + -6x Solving 17 + x = 52 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 17 + x + 6x = 52 + -6x + 6x Combine like terms: x + 6x = 7x 17 + 7x = 52 + -6x + 6x Combine like terms: -6x + 6x = 0 17 + 7x = 52 + 0 17 + 7x = 52 Add '-17' to each side of the equation. 17 + -17 + 7x = 52 + -17 Combine like terms: 17 + -17 = 0 0 + 7x = 52 + -17 7x = 52 + -17 Combine like terms: 52 + -17 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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