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Simplifying 17x + -2 = 8x + 7 + 45 Reorder the terms: -2 + 17x = 8x + 7 + 45 Reorder the terms: -2 + 17x = 7 + 45 + 8x Combine like terms: 7 + 45 = 52 -2 + 17x = 52 + 8x Solving -2 + 17x = 52 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -2 + 17x + -8x = 52 + 8x + -8x Combine like terms: 17x + -8x = 9x -2 + 9x = 52 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + 9x = 52 + 0 -2 + 9x = 52 Add '2' to each side of the equation. -2 + 2 + 9x = 52 + 2 Combine like terms: -2 + 2 = 0 0 + 9x = 52 + 2 9x = 52 + 2 Combine like terms: 52 + 2 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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