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Simplifying 5(x + -5) + -5 = 17x + -162 Reorder the terms: 5(-5 + x) + -5 = 17x + -162 (-5 * 5 + x * 5) + -5 = 17x + -162 (-25 + 5x) + -5 = 17x + -162 Reorder the terms: -25 + -5 + 5x = 17x + -162 Combine like terms: -25 + -5 = -30 -30 + 5x = 17x + -162 Reorder the terms: -30 + 5x = -162 + 17x Solving -30 + 5x = -162 + 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. -30 + 5x + -17x = -162 + 17x + -17x Combine like terms: 5x + -17x = -12x -30 + -12x = -162 + 17x + -17x Combine like terms: 17x + -17x = 0 -30 + -12x = -162 + 0 -30 + -12x = -162 Add '30' to each side of the equation. -30 + 30 + -12x = -162 + 30 Combine like terms: -30 + 30 = 0 0 + -12x = -162 + 30 -12x = -162 + 30 Combine like terms: -162 + 30 = -132 -12x = -132 Divide each side by '-12'. x = 11 Simplifying x = 11
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