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Simplifying 2(1 + -1x) + -1(4x + 3) = 11 (1 * 2 + -1x * 2) + -1(4x + 3) = 11 (2 + -2x) + -1(4x + 3) = 11 Reorder the terms: 2 + -2x + -1(3 + 4x) = 11 2 + -2x + (3 * -1 + 4x * -1) = 11 2 + -2x + (-3 + -4x) = 11 Reorder the terms: 2 + -3 + -2x + -4x = 11 Combine like terms: 2 + -3 = -1 -1 + -2x + -4x = 11 Combine like terms: -2x + -4x = -6x -1 + -6x = 11 Solving -1 + -6x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -6x = 11 + 1 Combine like terms: -1 + 1 = 0 0 + -6x = 11 + 1 -6x = 11 + 1 Combine like terms: 11 + 1 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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