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Simplifying 5(3x + -5) + -4(x + 2) + -17x = 0 Reorder the terms: 5(-5 + 3x) + -4(x + 2) + -17x = 0 (-5 * 5 + 3x * 5) + -4(x + 2) + -17x = 0 (-25 + 15x) + -4(x + 2) + -17x = 0 Reorder the terms: -25 + 15x + -4(2 + x) + -17x = 0 -25 + 15x + (2 * -4 + x * -4) + -17x = 0 -25 + 15x + (-8 + -4x) + -17x = 0 Reorder the terms: -25 + -8 + 15x + -4x + -17x = 0 Combine like terms: -25 + -8 = -33 -33 + 15x + -4x + -17x = 0 Combine like terms: 15x + -4x = 11x -33 + 11x + -17x = 0 Combine like terms: 11x + -17x = -6x -33 + -6x = 0 Solving -33 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -6x = 0 + 33 Combine like terms: -33 + 33 = 0 0 + -6x = 0 + 33 -6x = 0 + 33 Combine like terms: 0 + 33 = 33 -6x = 33 Divide each side by '-6'. x = -5.5 Simplifying x = -5.5
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