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Simplifying 6(2x + -6) + -2(x + 3) + -17x = 0 Reorder the terms: 6(-6 + 2x) + -2(x + 3) + -17x = 0 (-6 * 6 + 2x * 6) + -2(x + 3) + -17x = 0 (-36 + 12x) + -2(x + 3) + -17x = 0 Reorder the terms: -36 + 12x + -2(3 + x) + -17x = 0 -36 + 12x + (3 * -2 + x * -2) + -17x = 0 -36 + 12x + (-6 + -2x) + -17x = 0 Reorder the terms: -36 + -6 + 12x + -2x + -17x = 0 Combine like terms: -36 + -6 = -42 -42 + 12x + -2x + -17x = 0 Combine like terms: 12x + -2x = 10x -42 + 10x + -17x = 0 Combine like terms: 10x + -17x = -7x -42 + -7x = 0 Solving -42 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -7x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -7x = 0 + 42 -7x = 0 + 42 Combine like terms: 0 + 42 = 42 -7x = 42 Divide each side by '-7'. x = -6 Simplifying x = -6
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