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Simplifying -17 + -3x = 3(-3x + -2) + 1 Reorder the terms: -17 + -3x = 3(-2 + -3x) + 1 -17 + -3x = (-2 * 3 + -3x * 3) + 1 -17 + -3x = (-6 + -9x) + 1 Reorder the terms: -17 + -3x = -6 + 1 + -9x Combine like terms: -6 + 1 = -5 -17 + -3x = -5 + -9x Solving -17 + -3x = -5 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -17 + -3x + 9x = -5 + -9x + 9x Combine like terms: -3x + 9x = 6x -17 + 6x = -5 + -9x + 9x Combine like terms: -9x + 9x = 0 -17 + 6x = -5 + 0 -17 + 6x = -5 Add '17' to each side of the equation. -17 + 17 + 6x = -5 + 17 Combine like terms: -17 + 17 = 0 0 + 6x = -5 + 17 6x = -5 + 17 Combine like terms: -5 + 17 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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