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Simplifying 6(x + -7) = 17x + -9 Reorder the terms: 6(-7 + x) = 17x + -9 (-7 * 6 + x * 6) = 17x + -9 (-42 + 6x) = 17x + -9 Reorder the terms: -42 + 6x = -9 + 17x Solving -42 + 6x = -9 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -42 + 6x + -17x = -9 + 17x + -17x Combine like terms: 6x + -17x = -11x -42 + -11x = -9 + 17x + -17x Combine like terms: 17x + -17x = 0 -42 + -11x = -9 + 0 -42 + -11x = -9 Add '42' to each side of the equation. -42 + 42 + -11x = -9 + 42 Combine like terms: -42 + 42 = 0 0 + -11x = -9 + 42 -11x = -9 + 42 Combine like terms: -9 + 42 = 33 -11x = 33 Divide each side by '-11'. x = -3 Simplifying x = -3
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