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Simplifying 1 + -1(x + 1 + -9) = -2(x + -3) Reorder the terms: 1 + -1(1 + -9 + x) = -2(x + -3) Combine like terms: 1 + -9 = -8 1 + -1(-8 + x) = -2(x + -3) 1 + (-8 * -1 + x * -1) = -2(x + -3) 1 + (8 + -1x) = -2(x + -3) Combine like terms: 1 + 8 = 9 9 + -1x = -2(x + -3) Reorder the terms: 9 + -1x = -2(-3 + x) 9 + -1x = (-3 * -2 + x * -2) 9 + -1x = (6 + -2x) Solving 9 + -1x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 9 + -1x + 2x = 6 + -2x + 2x Combine like terms: -1x + 2x = 1x 9 + 1x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 9 + 1x = 6 + 0 9 + 1x = 6 Add '-9' to each side of the equation. 9 + -9 + 1x = 6 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 6 + -9 1x = 6 + -9 Combine like terms: 6 + -9 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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