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Simplifying (9x + -7) * 2 = 17x + -2 Reorder the terms: (-7 + 9x) * 2 = 17x + -2 Reorder the terms for easier multiplication: 2(-7 + 9x) = 17x + -2 (-7 * 2 + 9x * 2) = 17x + -2 (-14 + 18x) = 17x + -2 Reorder the terms: -14 + 18x = -2 + 17x Solving -14 + 18x = -2 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -14 + 18x + -17x = -2 + 17x + -17x Combine like terms: 18x + -17x = 1x -14 + 1x = -2 + 17x + -17x Combine like terms: 17x + -17x = 0 -14 + 1x = -2 + 0 -14 + 1x = -2 Add '14' to each side of the equation. -14 + 14 + 1x = -2 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = -2 + 14 1x = -2 + 14 Combine like terms: -2 + 14 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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