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Simplifying -2x + 3(-5x + -17) = 34 Reorder the terms: -2x + 3(-17 + -5x) = 34 -2x + (-17 * 3 + -5x * 3) = 34 -2x + (-51 + -15x) = 34 Reorder the terms: -51 + -2x + -15x = 34 Combine like terms: -2x + -15x = -17x -51 + -17x = 34 Solving -51 + -17x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + -17x = 34 + 51 Combine like terms: -51 + 51 = 0 0 + -17x = 34 + 51 -17x = 34 + 51 Combine like terms: 34 + 51 = 85 -17x = 85 Divide each side by '-17'. x = -5 Simplifying x = -5
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