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Simplifying 9x + -1(3x + 2) = 7x + -17 Reorder the terms: 9x + -1(2 + 3x) = 7x + -17 9x + (2 * -1 + 3x * -1) = 7x + -17 9x + (-2 + -3x) = 7x + -17 Reorder the terms: -2 + 9x + -3x = 7x + -17 Combine like terms: 9x + -3x = 6x -2 + 6x = 7x + -17 Reorder the terms: -2 + 6x = -17 + 7x Solving -2 + 6x = -17 + 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. -2 + 6x + -7x = -17 + 7x + -7x Combine like terms: 6x + -7x = -1x -2 + -1x = -17 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -1x = -17 + 0 -2 + -1x = -17 Add '2' to each side of the equation. -2 + 2 + -1x = -17 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -17 + 2 -1x = -17 + 2 Combine like terms: -17 + 2 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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