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