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Simplifying 5(3x + -6) + -4(x + 2) + -17x = 0 Reorder the terms: 5(-6 + 3x) + -4(x + 2) + -17x = 0 (-6 * 5 + 3x * 5) + -4(x + 2) + -17x = 0 (-30 + 15x) + -4(x + 2) + -17x = 0 Reorder the terms: -30 + 15x + -4(2 + x) + -17x = 0 -30 + 15x + (2 * -4 + x * -4) + -17x = 0 -30 + 15x + (-8 + -4x) + -17x = 0 Reorder the terms: -30 + -8 + 15x + -4x + -17x = 0 Combine like terms: -30 + -8 = -38 -38 + 15x + -4x + -17x = 0 Combine like terms: 15x + -4x = 11x -38 + 11x + -17x = 0 Combine like terms: 11x + -17x = -6x -38 + -6x = 0 Solving -38 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -6x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -6x = 0 + 38 -6x = 0 + 38 Combine like terms: 0 + 38 = 38 -6x = 38 Divide each side by '-6'. x = -6.333333333 Simplifying x = -6.333333333
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