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Simplifying -2(1 + -3x) = 11 + -1(x + -8) (1 * -2 + -3x * -2) = 11 + -1(x + -8) (-2 + 6x) = 11 + -1(x + -8) Reorder the terms: -2 + 6x = 11 + -1(-8 + x) -2 + 6x = 11 + (-8 * -1 + x * -1) -2 + 6x = 11 + (8 + -1x) Combine like terms: 11 + 8 = 19 -2 + 6x = 19 + -1x Solving -2 + 6x = 19 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -2 + 6x + x = 19 + -1x + x Combine like terms: 6x + x = 7x -2 + 7x = 19 + -1x + x Combine like terms: -1x + x = 0 -2 + 7x = 19 + 0 -2 + 7x = 19 Add '2' to each side of the equation. -2 + 2 + 7x = 19 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 19 + 2 7x = 19 + 2 Combine like terms: 19 + 2 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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