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Simplifying 6(2x + -5) + -4(x + 2) + -17x = 0 Reorder the terms: 6(-5 + 2x) + -4(x + 2) + -17x = 0 (-5 * 6 + 2x * 6) + -4(x + 2) + -17x = 0 (-30 + 12x) + -4(x + 2) + -17x = 0 Reorder the terms: -30 + 12x + -4(2 + x) + -17x = 0 -30 + 12x + (2 * -4 + x * -4) + -17x = 0 -30 + 12x + (-8 + -4x) + -17x = 0 Reorder the terms: -30 + -8 + 12x + -4x + -17x = 0 Combine like terms: -30 + -8 = -38 -38 + 12x + -4x + -17x = 0 Combine like terms: 12x + -4x = 8x -38 + 8x + -17x = 0 Combine like terms: 8x + -17x = -9x -38 + -9x = 0 Solving -38 + -9x = 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 + -9x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -9x = 0 + 38 -9x = 0 + 38 Combine like terms: 0 + 38 = 38 -9x = 38 Divide each side by '-9'. x = -4.222222222 Simplifying x = -4.222222222
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