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Simplifying 5(3x + -5) + -3(x + 3) + -17x = 0 Reorder the terms: 5(-5 + 3x) + -3(x + 3) + -17x = 0 (-5 * 5 + 3x * 5) + -3(x + 3) + -17x = 0 (-25 + 15x) + -3(x + 3) + -17x = 0 Reorder the terms: -25 + 15x + -3(3 + x) + -17x = 0 -25 + 15x + (3 * -3 + x * -3) + -17x = 0 -25 + 15x + (-9 + -3x) + -17x = 0 Reorder the terms: -25 + -9 + 15x + -3x + -17x = 0 Combine like terms: -25 + -9 = -34 -34 + 15x + -3x + -17x = 0 Combine like terms: 15x + -3x = 12x -34 + 12x + -17x = 0 Combine like terms: 12x + -17x = -5x -34 + -5x = 0 Solving -34 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + -5x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + -5x = 0 + 34 -5x = 0 + 34 Combine like terms: 0 + 34 = 34 -5x = 34 Divide each side by '-5'. x = -6.8 Simplifying x = -6.8
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