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Simplifying 11 + -1(x + 7) = 3x + -5x + -6 Reorder the terms: 11 + -1(7 + x) = 3x + -5x + -6 11 + (7 * -1 + x * -1) = 3x + -5x + -6 11 + (-7 + -1x) = 3x + -5x + -6 Combine like terms: 11 + -7 = 4 4 + -1x = 3x + -5x + -6 Reorder the terms: 4 + -1x = -6 + 3x + -5x Combine like terms: 3x + -5x = -2x 4 + -1x = -6 + -2x Solving 4 + -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. 4 + -1x + 2x = -6 + -2x + 2x Combine like terms: -1x + 2x = 1x 4 + 1x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 1x = -6 + 0 4 + 1x = -6 Add '-4' to each side of the equation. 4 + -4 + 1x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = -6 + -4 1x = -6 + -4 Combine like terms: -6 + -4 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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