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Simplifying 2(9 + -1x) = -1(7x + -8) (9 * 2 + -1x * 2) = -1(7x + -8) (18 + -2x) = -1(7x + -8) Reorder the terms: 18 + -2x = -1(-8 + 7x) 18 + -2x = (-8 * -1 + 7x * -1) 18 + -2x = (8 + -7x) Solving 18 + -2x = 8 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 18 + -2x + 7x = 8 + -7x + 7x Combine like terms: -2x + 7x = 5x 18 + 5x = 8 + -7x + 7x Combine like terms: -7x + 7x = 0 18 + 5x = 8 + 0 18 + 5x = 8 Add '-18' to each side of the equation. 18 + -18 + 5x = 8 + -18 Combine like terms: 18 + -18 = 0 0 + 5x = 8 + -18 5x = 8 + -18 Combine like terms: 8 + -18 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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