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Simplifying 11 + -1(3 + -1x) = 4x + -1(2x + 1) 11 + (3 * -1 + -1x * -1) = 4x + -1(2x + 1) 11 + (-3 + 1x) = 4x + -1(2x + 1) Combine like terms: 11 + -3 = 8 8 + 1x = 4x + -1(2x + 1) Reorder the terms: 8 + 1x = 4x + -1(1 + 2x) 8 + 1x = 4x + (1 * -1 + 2x * -1) 8 + 1x = 4x + (-1 + -2x) Reorder the terms: 8 + 1x = -1 + 4x + -2x Combine like terms: 4x + -2x = 2x 8 + 1x = -1 + 2x Solving 8 + 1x = -1 + 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. 8 + 1x + -2x = -1 + 2x + -2x Combine like terms: 1x + -2x = -1x 8 + -1x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -1x = -1 + 0 8 + -1x = -1 Add '-8' to each side of the equation. 8 + -8 + -1x = -1 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = -1 + -8 -1x = -1 + -8 Combine like terms: -1 + -8 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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