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Simplifying -1(-1 + -1x) + -6(7 + x) = -16 (-1 * -1 + -1x * -1) + -6(7 + x) = -16 (1 + 1x) + -6(7 + x) = -16 1 + 1x + (7 * -6 + x * -6) = -16 1 + 1x + (-42 + -6x) = -16 Reorder the terms: 1 + -42 + 1x + -6x = -16 Combine like terms: 1 + -42 = -41 -41 + 1x + -6x = -16 Combine like terms: 1x + -6x = -5x -41 + -5x = -16 Solving -41 + -5x = -16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + -5x = -16 + 41 Combine like terms: -41 + 41 = 0 0 + -5x = -16 + 41 -5x = -16 + 41 Combine like terms: -16 + 41 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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