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Simplifying -9(x + -8) + -1(6 + 7x) = -17x Reorder the terms: -9(-8 + x) + -1(6 + 7x) = -17x (-8 * -9 + x * -9) + -1(6 + 7x) = -17x (72 + -9x) + -1(6 + 7x) = -17x 72 + -9x + (6 * -1 + 7x * -1) = -17x 72 + -9x + (-6 + -7x) = -17x Reorder the terms: 72 + -6 + -9x + -7x = -17x Combine like terms: 72 + -6 = 66 66 + -9x + -7x = -17x Combine like terms: -9x + -7x = -16x 66 + -16x = -17x Solving 66 + -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. 66 + -16x + 17x = -17x + 17x Combine like terms: -16x + 17x = 1x 66 + 1x = -17x + 17x Combine like terms: -17x + 17x = 0 66 + 1x = 0 Add '-66' to each side of the equation. 66 + -66 + 1x = 0 + -66 Combine like terms: 66 + -66 = 0 0 + 1x = 0 + -66 1x = 0 + -66 Combine like terms: 0 + -66 = -66 1x = -66 Divide each side by '1'. x = -66 Simplifying x = -66
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