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Simplifying 1 + -1x + -1(3x + -2) = 11 + -6x Reorder the terms: 1 + -1x + -1(-2 + 3x) = 11 + -6x 1 + -1x + (-2 * -1 + 3x * -1) = 11 + -6x 1 + -1x + (2 + -3x) = 11 + -6x Reorder the terms: 1 + 2 + -1x + -3x = 11 + -6x Combine like terms: 1 + 2 = 3 3 + -1x + -3x = 11 + -6x Combine like terms: -1x + -3x = -4x 3 + -4x = 11 + -6x Solving 3 + -4x = 11 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 3 + -4x + 6x = 11 + -6x + 6x Combine like terms: -4x + 6x = 2x 3 + 2x = 11 + -6x + 6x Combine like terms: -6x + 6x = 0 3 + 2x = 11 + 0 3 + 2x = 11 Add '-3' to each side of the equation. 3 + -3 + 2x = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 11 + -3 2x = 11 + -3 Combine like terms: 11 + -3 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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