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Simplifying -7(x + 8) + -5(1 + x) = 11 Reorder the terms: -7(8 + x) + -5(1 + x) = 11 (8 * -7 + x * -7) + -5(1 + x) = 11 (-56 + -7x) + -5(1 + x) = 11 -56 + -7x + (1 * -5 + x * -5) = 11 -56 + -7x + (-5 + -5x) = 11 Reorder the terms: -56 + -5 + -7x + -5x = 11 Combine like terms: -56 + -5 = -61 -61 + -7x + -5x = 11 Combine like terms: -7x + -5x = -12x -61 + -12x = 11 Solving -61 + -12x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '61' to each side of the equation. -61 + 61 + -12x = 11 + 61 Combine like terms: -61 + 61 = 0 0 + -12x = 11 + 61 -12x = 11 + 61 Combine like terms: 11 + 61 = 72 -12x = 72 Divide each side by '-12'. x = -6 Simplifying x = -6
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