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Simplifying 5(3x + -8) + -3(x + 3) + -17x = 0 Reorder the terms: 5(-8 + 3x) + -3(x + 3) + -17x = 0 (-8 * 5 + 3x * 5) + -3(x + 3) + -17x = 0 (-40 + 15x) + -3(x + 3) + -17x = 0 Reorder the terms: -40 + 15x + -3(3 + x) + -17x = 0 -40 + 15x + (3 * -3 + x * -3) + -17x = 0 -40 + 15x + (-9 + -3x) + -17x = 0 Reorder the terms: -40 + -9 + 15x + -3x + -17x = 0 Combine like terms: -40 + -9 = -49 -49 + 15x + -3x + -17x = 0 Combine like terms: 15x + -3x = 12x -49 + 12x + -17x = 0 Combine like terms: 12x + -17x = -5x -49 + -5x = 0 Solving -49 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + -5x = 0 + 49 Combine like terms: -49 + 49 = 0 0 + -5x = 0 + 49 -5x = 0 + 49 Combine like terms: 0 + 49 = 49 -5x = 49 Divide each side by '-5'. x = -9.8 Simplifying x = -9.8
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