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Simplifying 7x + x + -17 = -6x + 53 Reorder the terms: -17 + 7x + x = -6x + 53 Combine like terms: 7x + x = 8x -17 + 8x = -6x + 53 Reorder the terms: -17 + 8x = 53 + -6x Solving -17 + 8x = 53 + -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 + 8x + 6x = 53 + -6x + 6x Combine like terms: 8x + 6x = 14x -17 + 14x = 53 + -6x + 6x Combine like terms: -6x + 6x = 0 -17 + 14x = 53 + 0 -17 + 14x = 53 Add '17' to each side of the equation. -17 + 17 + 14x = 53 + 17 Combine like terms: -17 + 17 = 0 0 + 14x = 53 + 17 14x = 53 + 17 Combine like terms: 53 + 17 = 70 14x = 70 Divide each side by '14'. x = 5 Simplifying x = 5
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