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Simplifying 10(-3x + -17) = -5x + 46 Reorder the terms: 10(-17 + -3x) = -5x + 46 (-17 * 10 + -3x * 10) = -5x + 46 (-170 + -30x) = -5x + 46 Reorder the terms: -170 + -30x = 46 + -5x Solving -170 + -30x = 46 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -170 + -30x + 5x = 46 + -5x + 5x Combine like terms: -30x + 5x = -25x -170 + -25x = 46 + -5x + 5x Combine like terms: -5x + 5x = 0 -170 + -25x = 46 + 0 -170 + -25x = 46 Add '170' to each side of the equation. -170 + 170 + -25x = 46 + 170 Combine like terms: -170 + 170 = 0 0 + -25x = 46 + 170 -25x = 46 + 170 Combine like terms: 46 + 170 = 216 -25x = 216 Divide each side by '-25'. x = -8.64 Simplifying x = -8.64
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