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Simplifying 6(2x + -4) + -2(x + 4) + -17x = 0 Reorder the terms: 6(-4 + 2x) + -2(x + 4) + -17x = 0 (-4 * 6 + 2x * 6) + -2(x + 4) + -17x = 0 (-24 + 12x) + -2(x + 4) + -17x = 0 Reorder the terms: -24 + 12x + -2(4 + x) + -17x = 0 -24 + 12x + (4 * -2 + x * -2) + -17x = 0 -24 + 12x + (-8 + -2x) + -17x = 0 Reorder the terms: -24 + -8 + 12x + -2x + -17x = 0 Combine like terms: -24 + -8 = -32 -32 + 12x + -2x + -17x = 0 Combine like terms: 12x + -2x = 10x -32 + 10x + -17x = 0 Combine like terms: 10x + -17x = -7x -32 + -7x = 0 Solving -32 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -7x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -7x = 0 + 32 -7x = 0 + 32 Combine like terms: 0 + 32 = 32 -7x = 32 Divide each side by '-7'. x = -4.571428571 Simplifying x = -4.571428571
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