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Simplifying 6(2x + -5) + -2(x + 2) + -17x = 0 Reorder the terms: 6(-5 + 2x) + -2(x + 2) + -17x = 0 (-5 * 6 + 2x * 6) + -2(x + 2) + -17x = 0 (-30 + 12x) + -2(x + 2) + -17x = 0 Reorder the terms: -30 + 12x + -2(2 + x) + -17x = 0 -30 + 12x + (2 * -2 + x * -2) + -17x = 0 -30 + 12x + (-4 + -2x) + -17x = 0 Reorder the terms: -30 + -4 + 12x + -2x + -17x = 0 Combine like terms: -30 + -4 = -34 -34 + 12x + -2x + -17x = 0 Combine like terms: 12x + -2x = 10x -34 + 10x + -17x = 0 Combine like terms: 10x + -17x = -7x -34 + -7x = 0 Solving -34 + -7x = 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 + -7x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + -7x = 0 + 34 -7x = 0 + 34 Combine like terms: 0 + 34 = 34 -7x = 34 Divide each side by '-7'. x = -4.857142857 Simplifying x = -4.857142857
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