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Simplifying 3x + 5(3x + -5) = 6x + -17 Reorder the terms: 3x + 5(-5 + 3x) = 6x + -17 3x + (-5 * 5 + 3x * 5) = 6x + -17 3x + (-25 + 15x) = 6x + -17 Reorder the terms: -25 + 3x + 15x = 6x + -17 Combine like terms: 3x + 15x = 18x -25 + 18x = 6x + -17 Reorder the terms: -25 + 18x = -17 + 6x Solving -25 + 18x = -17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -25 + 18x + -6x = -17 + 6x + -6x Combine like terms: 18x + -6x = 12x -25 + 12x = -17 + 6x + -6x Combine like terms: 6x + -6x = 0 -25 + 12x = -17 + 0 -25 + 12x = -17 Add '25' to each side of the equation. -25 + 25 + 12x = -17 + 25 Combine like terms: -25 + 25 = 0 0 + 12x = -17 + 25 12x = -17 + 25 Combine like terms: -17 + 25 = 8 12x = 8 Divide each side by '12'. x = 0.6666666667 Simplifying x = 0.6666666667
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