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Simplifying -3x + 7(2x + -5) = -17 + -7x Reorder the terms: -3x + 7(-5 + 2x) = -17 + -7x -3x + (-5 * 7 + 2x * 7) = -17 + -7x -3x + (-35 + 14x) = -17 + -7x Reorder the terms: -35 + -3x + 14x = -17 + -7x Combine like terms: -3x + 14x = 11x -35 + 11x = -17 + -7x Solving -35 + 11x = -17 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -35 + 11x + 7x = -17 + -7x + 7x Combine like terms: 11x + 7x = 18x -35 + 18x = -17 + -7x + 7x Combine like terms: -7x + 7x = 0 -35 + 18x = -17 + 0 -35 + 18x = -17 Add '35' to each side of the equation. -35 + 35 + 18x = -17 + 35 Combine like terms: -35 + 35 = 0 0 + 18x = -17 + 35 18x = -17 + 35 Combine like terms: -17 + 35 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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