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Simplifying -7(x + -9) + -1(9x + -6) = -17x Reorder the terms: -7(-9 + x) + -1(9x + -6) = -17x (-9 * -7 + x * -7) + -1(9x + -6) = -17x (63 + -7x) + -1(9x + -6) = -17x Reorder the terms: 63 + -7x + -1(-6 + 9x) = -17x 63 + -7x + (-6 * -1 + 9x * -1) = -17x 63 + -7x + (6 + -9x) = -17x Reorder the terms: 63 + 6 + -7x + -9x = -17x Combine like terms: 63 + 6 = 69 69 + -7x + -9x = -17x Combine like terms: -7x + -9x = -16x 69 + -16x = -17x Solving 69 + -16x = -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. 69 + -16x + 17x = -17x + 17x Combine like terms: -16x + 17x = 1x 69 + 1x = -17x + 17x Combine like terms: -17x + 17x = 0 69 + 1x = 0 Add '-69' to each side of the equation. 69 + -69 + 1x = 0 + -69 Combine like terms: 69 + -69 = 0 0 + 1x = 0 + -69 1x = 0 + -69 Combine like terms: 0 + -69 = -69 1x = -69 Divide each side by '1'. x = -69 Simplifying x = -69
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