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Simplifying -7(x + 1) = 5 + -1x Reorder the terms: -7(1 + x) = 5 + -1x (1 * -7 + x * -7) = 5 + -1x (-7 + -7x) = 5 + -1x Solving -7 + -7x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -7 + -7x + x = 5 + -1x + x Combine like terms: -7x + x = -6x -7 + -6x = 5 + -1x + x Combine like terms: -1x + x = 0 -7 + -6x = 5 + 0 -7 + -6x = 5 Add '7' to each side of the equation. -7 + 7 + -6x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = 5 + 7 -6x = 5 + 7 Combine like terms: 5 + 7 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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